arrow_back Find a $2 \times 2$ matrix that reflects across the horizontal axis followed by a rotation the plane by $+45$ degrees.

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Find a $2 \times 2$ matrix that reflects across the horizontal axis followed by a rotation the plane by $+45$ degrees.

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Find a $2 \times 2$ matrix that rotates the plane by $+45$ degrees followed by a reflection across the horizontal axis.
Find a $2 \times 2$ matrix that rotates the plane by $+45$ degrees followed by a reflection across the horizontal axis.Find a $2 \times 2$ matrix that rotates the plane by $+45$ degrees followed by a reflection across the horizontal axis. ...
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Find a $3 \times 3$ matrix $A$ mapping $\mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ that rotates the $x_{1} x_{3}$ plane by 60 degrees and leaves the $x_{2}$ axis fixed.Find a $3 \times 3$ matrix $A$ mapping $\mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ that rotates the $x_{1} x_{3}$ plane by 60 degrees and leav ...
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Find a $3 \times 3$ matrix that acts on $\mathbb{R}^{3}$ as follows: it keeps the $x_{1}$ axis fixed but rotates the $x_{2} x_{3}$ plane by 60 degrees.
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Find the inverse to a $2 \times 2$ matrix that rotates the plane by $+45$ degrees $(+45$ degrees means 45 degrees counterclockwise).
Find the inverse to a $2 \times 2$ matrix that rotates the plane by $+45$ degrees $(+45$ degrees means 45 degrees counterclockwise).Find the inverse to a $2 \times 2$ matrix that rotates the plane by $+45$ degrees $(+45$ degrees means 45 degrees counterclockwise). ...
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Find a $2 \times 2$ matrix that rotates the plane by $+45$ degrees $(+45$ degrees means 45 degrees counterclockwise).Find a $2 \times 2$ matrix that rotates the plane by $+45$ degrees $(+45$ degrees means 45 degrees counterclockwise). ...
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Find a matrix that rotates the plane through $+60$ degrees, keeping the origin fixed.
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Find a real $2 \times 2$ matrix $A$ (other than $A=I$ ) such that $A^{5}=I$.
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Find the equation of the plane that contains the $z$-axis and the point $(3,1,2)$.
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Linear maps $F(X)=A X$, where $A$ is a matrix, have the property that $F(0)=A 0=0$, so they necessarily leave the origin fixed. It is simple to extend this to include a translation, Linear maps $F(X)=A X$, where $A$ is a matrix, have the property that $F(0)=A 0=0$, so they necessarily leave the origin fixed. It is simple t ...
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Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$
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