Questions: Let A= [[9, -4], [-3, -8]] Find -2 A -2 A=

Let A= [[9, -4], [-3, -8]] Find -2 A -2 A=
Transcript text: Let $A=\left[\begin{array}{rr}9 & -4 \\ -3 & -8\end{array}\right]$ Find -2 A $-2 A=$
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Solution

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Solution Steps

Step 1: Identify the Scalar and the Matrix

The given scalar is $k = -2$ and the matrix $A$ is provided as input.

Step 2: Scalar Multiplication

For each element $a_{{ij}}$ in the matrix $A$, compute $a'_{{ij}} = k \cdot a_{{ij}}$. The operation is performed for every element in the matrix to obtain the new matrix $A'$.

Original Matrix $A$:

9 | -4 -3 | -8

Resultant Matrix $A'$ after Scalar Multiplication by $k$:

-18 | 8 6 | 16

Final Answer:

The resultant matrix $A'$ after scalar multiplication by $k$ is shown above.

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