Recent questions tagged equations

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Consider the homogeneous linear system $A x=0$ where $A=\left(\begin{array}{rrrr} 1 & 3 & 0 & 1 \\ 1 & 3 & -2 & -2 \\ 0 & 0 & 2 & 3 \end{array}\right) \text {. }$
Consider the homogeneous linear system $A x=0$ where $A=\left(\begin{array}{rrrr} 1 & 3 & 0 & 1 \\ 1 & 3 & -2 & -2 \\ 0 & 0 & 2 & 3 \end{array}\right) \text {. }$Consider the homogeneous linear system $A x=0$ where \ A=\left(\begin{array}{rrrr} 1 &amp; 3 &amp; 0 &amp; 1 \\ 1 &amp; 3 &amp; -2 &amp; -2 \\ 0 &a ...
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Consider the system of linear equations
Consider the system of linear equationsConsider the system of linear equations \ \begin{array}{rc} k x+y+z &amp; =1 \\ x+k y+z &amp; =1 \\ x+y+k z &amp; =1 \end{array} \ For what value(s) ...
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Solve the equations for $x, y$, and $z$.
Solve the equations for $x, y$, and $z$.Solve the equations for $x, y$, and $z$. $x+0 y+3 z=2$ $2 x+3 y+2 z=1$ $2 x+2 y+3 z=3$ HINT: If A=\left(\begin{array}{lll}2 &amp; 3 & ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Consider the system of equations \begin{aligned} &x+y-z=a \\ &x-y+2 z=b . \end{aligned} 0 answers 4 views Consider the system of equations \begin{aligned} &x+y-z=a \\ &x-y+2 z=b . \end{aligned}Consider the system of equations \ \begin{aligned} &amp;x+y-z=a \\ &amp;x-y+2 z=b . \end{aligned} \ a) Find the general solution of the homogeneous ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Say you have \(k linear algebraic equations in $n$ variables; in matrix form we write $A X=Y$. Give a proof or counterexample for each of the following.
Say you have $k$ linear algebraic equations in $n$ variables; in matrix form we write $A X=Y$. Give a proof or counterexample for each of the following.Say you have $k$ linear algebraic equations in $n$ variables; in matrix form we write $A X=Y$. Give a proof or counterexample for each of the fo ...
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Solve the given system - or show that no solution exists:
Solve the given system - or show that no solution exists:Solve the given system - or show that no solution exists: \ \begin{aligned} x+2 y &amp;=&amp; 1 \\ 3 x+2 y+&amp; 4 z=&amp; 7 \\ -2 x+y-&amp; 2 z=&am ...
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Let $A$ be an $n \times n$ matrix of real or complex numbers. Which of the following statements are equivalent to: "the matrix $A$ is invertible"?
Let $A$ be an $n \times n$ matrix of real or complex numbers. Which of the following statements are equivalent to: "the matrix $A$ is invertible"?Let $A$ be an $n \times n$ matrix of real or complex numbers. Which of the following statements are equivalent to: &quot;the matrix $A$ is inver ...
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How do I solve linear equations?
How do I solve linear equations?How do I solve linear equations? ...
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Do I need to know discrete math for data science?
Do I need to know discrete math for data science?Do I need to know discrete math for data science? ...
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Do I need to know calculus for data science?
Do I need to know calculus for data science?Do I need to know calculus for data science? ...
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Do I need to know statistics for data science?
Do I need to know statistics for data science?Do I need to know statistics for data science? ...
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Do I need to know Functions, Variables, Equations, and Graphs for data science?
Do I need to know Functions, Variables, Equations, and Graphs for data science?Do I need to know Functions, Variables, Equations, and Graphs for data science? ...
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Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$
Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$Determine \ D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right) \ ...
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Differentiate $k(t)=\frac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$
Differentiate $k(t)=\frac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$Differentiate $k(t)=\dfrac{(t+2)^{3}}{\sqrt{t}}$ with respect to $t$ ...
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Differentiate $g(t)=4(t+1)^{2}(t-3)$ with respect to $t$
Differentiate $g(t)=4(t+1)^{2}(t-3)$ with respect to $t$Differentiate &nbsp;$g(t)=4(t+1)^{2}(t-3)$ with respect to $t$ ...
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Differentiate the function $m=\frac{3}{2} n^{4}-1$
Differentiate the function $m=\frac{3}{2} n^{4}-1$Differentiate the function $m=\frac{3}{2} n^{4}-1$ ...
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Differentiate the function $y=3 x^{5}$
Differentiate the function $y=3 x^{5}$Differentiate the function $y=3 x^{5}$ ...
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The system of linear equations has $$\left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right.$$
The system of linear equations has $$\left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right.$$The system of linear equations has $$\left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right.$$ &nbsp; A) infinitely ...
Solve the system $$\left\{\begin{array}{l} 4 x_{1}+2 x_{2}+3 x_{3}+4 x_{4}=0 \\ x_{1}+x_{3}+2 x_{4}=1 \\ x_{1}-x_{2}+x_{3}=1 \\ -3 x_{1}-2 x_{2}-2 x_{3}-2 x_{4}=1 \end{array}\right.$$Solve the system $$\left\{\begin{array}{l} 4 x_{1}+2 x_{2}+3 x_{3}+4 x_{4}=0 \\ x_{1}+x_{3}+2 x_{4}=1 \\ x_{1}-x_{2}+x_{3}=1 \\ -3 x_{1}-2 x_{2}-2 x_ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Calculate the determinant$$ \left|\begin{array}{rrrr} 4 & 2 & 3 & 4 \\ 1 & 0 & 1 & 2 \\ 1 & -1 & 1 & 0 \\ 5 & 1 & 4 & 3 \end{array}\right| $$0 answers 8 views Calculate the determinant$$ \left|\begin{array}{rrrr} 4 & 2 & 3 & 4 \\ 1 & 0 & 1 & 2 \\ 1 & -1 & 1 & 0 \\ 5 & 1 & 4 & 3 \end{array}\right| $$Calculate the determinant$$ \left|\begin{array}{rrrr} 4 &amp; 2 &amp; 3 &amp; 4 \\ 1 &amp; 0 &amp; 1 &amp; 2 \\ 1 &amp; -1 &amp; 1 &amp; 0 \\ 5 &amp; ...
Which of the following is the coefficient matrix for the system  \begin{array}{c} x+4 y=6 \\ 4 x+2 y=z \text { ? } \\ y+5 z=-6 \end{array}Which of the following is the coefficient matrix for the system \begin{array}{c} x+4 y=6 \\ 4 x+2 y=z \text { ? } \\ y+5 z=-6 \end{array} A. $\left\b ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The system $$\left\{\begin{array}{c} x+2 y-3 z=4 \\ 3 x-y+5 z=2 \\ 4 x+y+2 z=-2 \end{array}\right.$$ 0 answers 4 views The system $$\left\{\begin{array}{c} x+2 y-3 z=4 \\ 3 x-y+5 z=2 \\ 4 x+y+2 z=-2 \end{array}\right.$$The system $$\left\{\begin{array}{c} x+2 y-3 z=4 \\ 3 x-y+5 z=2 \\ 4 x+y+2 z=-2 \end{array}\right.$$ &nbsp; A. has a uni ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 $$\text { Write the system }\left\{\begin{array}{l} z=x+y \\ x-y=3 \text { in the form } A X=B \text {. Then } \\ x=-y \end{array}\right.$$ 0 answers 3 views $$\text { Write the system }\left\{\begin{array}{l} z=x+y \\ x-y=3 \text { in the form } A X=B \text {. Then } \\ x=-y \end{array}\right.$$ \text { Write the system }\left\{\begin{array}{l} z=x+y \\ x-y=3 \text { in the form } A X=B \text {. Then } \\ x=-y \end{array}\righ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Interpret the solution of the given system of equations geometrically on the diagram: 0 answers 2 views Interpret the solution of the given system of equations geometrically on the diagram: Interpret the solution of the given system of equations geometrically on the diagram: $$\begin{gathered} 3 x-6 y+9 z=3 \\ 2 x-3 y+5 z=7 \\ 2 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The system of linear equations$$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$0 answers 2 views The system of linear equations$$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$The system of linear equations$$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered}$\$ has &nbsp; A) infinitely many solut ...