Scalar interactions with Matrices

Practice Questions

ACT Math › Scalar interactions with Matrices

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Define matrix $M = \begin{bmatrix} 3&-5 &4 \ 5&6 &1 \ 3&-4 & -7 \end{bmatrix}$ , and let be the 3x3 identity matrix.

If , evaluate $n_{2,2}$ .

Define matrix $M = \begin{bmatrix} 3&-5 &4 \ 5&6 &1 \ 3&-4 & -7 \end{bmatrix}$ , and let be the 3x3 identity matrix.

If , evaluate $n_{2,2}$ .

Simplify the following

$3\cdot \begin{bmatrix} -3& 5&0 \ 4& -1& 2 \end{bmatrix}$

Simplify the following

$3\cdot \begin{bmatrix} -3& 5&0 \ 4& -1& 2 \end{bmatrix}$

$5\begin{bmatrix} a \ b \end{bmatrix} = 14\begin{bmatrix} 20 \ 12 \end{bmatrix}$

What is ?

$5\begin{bmatrix} a \ b \end{bmatrix} = 14\begin{bmatrix} 20 \ 12 \end{bmatrix}$

What is ?

If $\frac{1}{2}$\bigl(\begin{smallmatrix} 2a\4b \end{smallmatrix} \bigr)$=$\bigl(\begin{smallmatrix} 53 \ 98 \end{smallmatrix} \bigr)$$ , what is ?

Define matrix $M = \begin{bmatrix} 3&-5 &4 \ 5&6 &1 \ 3&-4 & -7 \end{bmatrix}$ , and let be the 3x3 identity matrix.

If , then evaluate $n _{3,1}$ .

Define matrix $M = \begin{bmatrix} 3&-5 &4 \ 5&6 &1 \ 3&-4 & -7 \end{bmatrix}$ , and let be the 3x3 identity matrix.

If , then evaluate $n _{3,1}$ .

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