Subtract the Matrices 5*[[1,0],[0,1]]-[[1,-4],[1,6]]

Problem

5*[[1,0],[0,1]]−[[1,−4],[1,6]]

Solution

1. Perform scalar multiplication by multiplying every element in the first matrix by 5.

5*[[1,0],[0,1]]=[[5,0],[0,5]]

2. Set up the subtraction between the resulting matrix and the second matrix.

[[5,0],[0,5]]−[[1,−4],[1,6]]

3. Subtract corresponding elements by calculating the difference for each position in the matrices.

[[5−1,0−(−4)],[0−1,5−6]]

4. Simplify the results to find the final values for each entry.

[[4,4],[−1,−1]]

Final Answer

5*[[1,0],[0,1]]−[[1,−4],[1,6]]=[[4,4],[−1,−1]]

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