menu

Recent questions tagged determinant


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A:=\left(\begin{array}{rrr}4 & 4 & 4 \\ -2 & -3 & -6 \\ 1 & 3 & 6\end{array}\right)\). Compute
0 answers 3 views
Let \(A:=\left(\begin{array}{rrr}4 & 4 & 4 \\ -2 & -3 & -6 \\ 1 & 3 & 6\end{array}\right)\). ComputeLet \(A:=\left(\begin{array}{rrr}4 & 4 & 4 \\ -2 & -3 & -6 \\ 1 & 3 & 6\end{array}\right)\). Compute a) the characteristic po ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 8 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Compute the value of the determinant of the \(3 \times 3\) complex matrix \(X\), provided that...
0 answers 3 views
Compute the value of the determinant of the \(3 \times 3\) complex matrix \(X\), provided that...Compute the value of the determinant of the \(3 \times 3\) complex matrix \(X\), provided that \(\operatorname{tr}(X)=1, \operatorname{tr}\left(X^{2}\ ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 9 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A=\left(\begin{array}{cc}a & b-a \\ 0 & b\end{array}\right)\) - Diagonalize \(A\).
0 answers 3 views
Let \(A=\left(\begin{array}{cc}a & b-a \\ 0 & b\end{array}\right)\) - Diagonalize \(A\).Let \(A=\left(\begin{array}{cc}a & b-a \\ 0 & b\end{array}\right)\) a) Diagonalize \(A\). b) Use this to compute \(A^{k}\) for any integer \( ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 46 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Diagonalize the matrix \[ A=\left(\begin{array}{lll} 1 & 0 & 2 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{array}\right) \]
0 answers 4 views
Diagonalize the matrix \[ A=\left(\begin{array}{lll} 1 & 0 & 2 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{array}\right) \]Diagonalize the matrix \ A=\left(\begin{array}{lll} 1 & 0 & 2 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{array}\right) \ by finding the ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 48 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A=\left(\begin{array}{lll}1 & 1 & 2 \\ 1 & 1 & 2 \\ 1 & 1 & 2\end{array}\right)\).
0 answers 3 views
Let \(A=\left(\begin{array}{lll}1 & 1 & 2 \\ 1 & 1 & 2 \\ 1 & 1 & 2\end{array}\right)\).Let \(A=\left(\begin{array}{lll}1 & 1 & 2 \\ 1 & 1 & 2 \\ 1 & 1 & 2\end{array}\right)\). a) What is the dimension of the image ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 49 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
If \(A\) and \(B\) can be simultaneously diagonalized, show that \(A B=B A\).
0 answers 2 views
If \(A\) and \(B\) can be simultaneously diagonalized, show that \(A B=B A\).Two matrices \(A, B\) can be simultaneously diagonalized if there is an invertible matrix that diagonalizes both of them. In other words, if there is ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 51 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Give an example of a matrix \(A\) with the following three properties:
0 answers 2 views
Give an example of a matrix \(A\) with the following three properties:Give an example of a matrix \(A\) with the following three properties: i). \(A\) has eigenvalues \(-1\) and 2 . ii). The eigenvalue \(-1\) has eigenve ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 53 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Compute the determinant of \(A^{10}+A\).
0 answers 4 views
Compute the determinant of \(A^{10}+A\).a) Find a \(2 \times 2\) real matrix \(A\) that has an eigenvalue \(\lambda_{1}=1\) with eigenvector \(E_{1}=\) \(\left(\begin{array}{l}1 \\ 2\end{arr ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 54 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
[Frobenius] Let \(A, B\), and \(C\) be matrices so that the products \(A B\) and \(B C\) are defined.
0 answers 2 views
[Frobenius] Let \(A, B\), and \(C\) be matrices so that the products \(A B\) and \(B C\) are defined.Frobenius Let \(A, B\), and \(C\) be matrices so that the products \(A B\) and \(B C\) are defined. Use the obvious \ \operatorname{dim}\left(\left ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 56 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A(t)\) be a family of invertible real matrices depending on the real parameter \(t\) and assume they are invertible.
0 answers 2 views
Let \(A(t)\) be a family of invertible real matrices depending on the real parameter \(t\) and assume they are invertible.Let \(A(t)\) be a family of invertible real matrices depending on the real parameter \(t\) and assume they are invertible. Show that the inverse matri ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 59 minutes ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Think of the matrix \(A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right)\) as mapping one plane to another.
0 answers 2 views
Think of the matrix \(A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right)\) as mapping one plane to another.Think of the matrix \(A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right)\) as mapping one plane to another. a) If two lines in the firs ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 1 hour ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Prove that \(A\) is invertible and \(B A=I\) as well.
0 answers 2 views
Prove that \(A\) is invertible and \(B A=I\) as well.Suppose that \(A\) is an \(n \times n\) matrix and there exists a matrix \(B\) so that \ A B=I \text {. } \ Prove that \(A\) is invertible and \(B A ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 1 hour ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A, B\), and \(C\) be \(n \times n\) matrices.
0 answers 2 views
Let \(A, B\), and \(C\) be \(n \times n\) matrices.Let \(A, B\), and \(C\) be \(n \times n\) matrices. a) If \(A^{2}\) is invertible, show that \(A\) is invertible. NOTE: You cannot naively use the f ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 1 hour ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let \(A=\left(\begin{array}{rrr}1 & 1 & -1 \\ 1 & -1 & 2\end{array}\right)\)
0 answers 5 views
Let \(A=\left(\begin{array}{rrr}1 & 1 & -1 \\ 1 & -1 & 2\end{array}\right)\)Let \(A=\left(\begin{array}{rrr}1 & 1 & -1 \\ 1 & -1 & 2\end{array}\right)\) a) Find the general solution \(\mathbf{Z}\) of the homog ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics 10 hours ago
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
If \(A\) is a \(5 \times 5\) matrix with \(\operatorname{det} A=-1\), compute \(\operatorname{det}(-2 A)\).
0 answers 5 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?
0 answers 4 views
Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?   A) $\operatorname{det}(A)=\operatorname{det}(-A)$ B) $\operatornam ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Which of the following operations does not change the determinant?
0 answers 4 views
Which of the following operations does not change the determinant?Which of the following operations does not change the determinant?   A) interchanging two rows B) multiplying a row by a constant C) adding t ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Find the inverse of the matrix $$ A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right) $$
0 answers 3 views
Find the inverse of the matrix $$ A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right) $$Find the inverse of the matrix $$ A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right) $$ ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Calculate the determinant $$ \left|\begin{array}{rrrr} 4 & 2 & 3 & 4 \\ 1 & 0 & 1 & 2 \\ 1 & -1 & 1 & 0 \\ 5 & 1 & 4 & 3 \end{array}\right| $$

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The augmented matrix of a system $A X=B$ has been transformed using elementary row operations to ...
0 answers 3 views
The augmented matrix of a system $A X=B$ has been transformed using elementary row operations to ... \begin{equation} \begin{aligned} &\text { The augmented matrix of a system } A X=B \text { has been transformed using elementary row }\\ &amp ...
by MathsGee Platinum
(104,076 points)
asked in Mathematics Jan 13
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
\begin{equation} \text { Consider the system } A X=B, \text { where } X=\left[\begin{array}{l} x \\ y \\ z \end{array}\right] \text {. } \end{equation}

Join the MathsGee Homework Help Q&A club where you get study support for success from our verified experts. Subscribe for only R100 per month or R960 per year.


On the MathsGee Homework Help Q&A learning community, you can:


  1. Ask questions
  2. Answer questions
  3. Comment on Answers
  4. Vote on Questions and Answers
  5. Donate to your favourite users
  6. Create/Take Live Video Lessons

Posting on the MathsGee Homework Help Q&A learning community


  1. Remember the human
  2. Behave like you would in real life
  3. Look for the original source of content
  4. Search for duplicates before posting
  5. Read the community's rules

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Management Leadership | MathsGee ZOOM | eBook | H5P