Question

[9 4]is the top part of the first matrix, [2 1] is the bottom part of the first matrix. X= is between both matrixes. [-9 -6] is the top part of the second matrix [-1 -8] is the bottom part of the second matrix.

(answer is a matrix)

Answer 1

To compute the matrix multiplication, we multiply each element in the row of the first matrix by the corresponding element in the column of the second matrix and sum them up.

Therefore, the matrix multiplication [9 4; 2 1] x [-9 -6; -1 -8] is:

[(9)(-9) + (4)(-1) (9)(-6) + (4)(-8)]
[(2)(-9) + (1)(-1) (2)(-6) + (1)(-8)]

Simplifying this gives:

[-81 + (-4) -54 + (-32)]
[-18 + (-1) -12 + (-8)]

[-85 -86]
[-19 -20]

So, the resulting matrix is [-85 -86; -19 -20].