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The system of linear equations has $$ \left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right. $$
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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 $$ \left\{\begin{array}{l} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{array}\right. $$   A) infinitely ...
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Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?
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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 ...
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Which of the following operations does not change the determinant?
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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 ...
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If $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal to
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If $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal toIf $\underline{a}=(2,1,-1)$ and $\underline{b}=(-1,2,1)$, then $2 \underline{a}-3 \underline{b}$ is equal to   A) $(1,-4,-5)$ B) $(7,-4,5)$ C ...
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Find the inverse of the matrix $$ A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right) $$
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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 $$ A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right) $$ ...
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The system \begin{equation} \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. \end{equation}
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The augmented matrix of a system $A X=B$ has been transformed using elementary row operations to ...
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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 ...
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What is the product of $A$, $B$ and $C$?
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What is the product of $A$, $B$ and $C$?\begin{equation} \text { Given } A=\left\begin{array}{ll} 4 & 5 \end{array}\right, B=\left\begin{array}{llll} 1 & 1 & 2 & 1 \end{ar ...
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Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:
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Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:   A. All the given options a ...
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The system of linear equations $$ \begin{gathered} x-2 y+z=1 \\ -2 x+4 y-2 z=-3 \\ -x+2 y-z=-2 \end{gathered} $$
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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   A) infinitely many solut ...
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Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to
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Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal toLet $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to   A) $\left(B^{T}\right)^{- ...
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If $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal to
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If $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal toIf $\vec{a}=(2,1,-1)$ and $\vec{b}=(-1,2,1)$, then $2 \vec{a}-3 \vec{b}$ is equal to   A) $(1,-4,-5)$ B) $(7,-4,5)$ C) $(7,-4,-5)$ D) $(7,4, ...
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Solve the equation $$ z^{3}+8 i=0 $$
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Solve the equation $$ z^{3}+8 i=0 $$Solve the equation $$ z^{3}+8 i=0 $$ ...
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Solve the system $$ \begin{gathered} 4 x_{1}+2 x_{3}=4 \\ 3 x_{1}-2 x_{4}=0 \\ 2 x_{1}+x_{2}+x_{4}=1 \end{gathered} $$
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