Multiply the Matrices 4*[[-4],[4]]

Problem

4*[[−4],[4]]

Solution

1. Identify the operation as scalar multiplication, where a single number (the scalar) is multiplied by every element inside the matrix.

2. Distribute the scalar 4 to the first element of the matrix, which is −4

4⋅(−4)=−16

3. Distribute the scalar 4 to the second element of the matrix, which is 4

4⋅4=16

4. Construct the resulting matrix using the calculated values.

Final Answer

4*[[−4],[4]]=[[−16],[16]]

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