Find the Variables [[4,0],[4,3]][[3,0],[4,3]]abc=ab

Problem

[[4,0],[4,3]]*[[3,0],[4,3]]

Solution

1. Identify the task as matrix multiplication of two 2×2 matrices.

2. Multiply the first row of the first matrix by the first column of the second matrix to find the element at position (1,1)

4*(3)+0*(4)=12

3. Multiply the first row of the first matrix by the second column of the second matrix to find the element at position (1,2)

4*(0)+0*(3)=0

4. Multiply the second row of the first matrix by the first column of the second matrix to find the element at position (2,1)

4*(3)+3*(4)=12+12=24

5. Multiply the second row of the first matrix by the second column of the second matrix to find the element at position (2,2)

4*(0)+3*(3)=9

6. Combine the results into the resulting 2×2 matrix.

Final Answer

[[4,0],[4,3]]*[[3,0],[4,3]]=[[12,0],[24,9]]

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