Multiply the Matrices [[1,0],[0,3]]-4[[7,0],[0,-1]]

Problem

[[1,0],[0,3]]−4*[[7,0],[0,−1]]

Solution

1. Perform scalar multiplication by multiplying every entry in the second matrix by 4

[[1,0],[0,3]]−[[4*(7),4*(0)],[4*(0),4*(−1)]]

2. Simplify the entries of the second matrix.

[[1,0],[0,3]]−[[28,0],[0,−4]]

3. Subtract the matrices by subtracting corresponding entries.

[[1−28,0−0],[0−0,3−(−4)]]

4. Calculate the final values for each position in the matrix.

[[−27,0],[0,7]]

Final Answer

[[1,0],[0,3]]−4*[[7,0],[0,−1]]=[[−27,0],[0,7]]

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