The product of the matrices is calculated by multiplying corresponding elements of the rows of the first matrix with the columns of the second matrix and adding the results.
To find the product of the matrices [5 5];[-2 3] and [-4 9];[8 7], we can calculate each element as follows:
First row of the first matrix multiplied by first column of the second matrix:
(5 * -4) + (5 * 8) = -20 + 40 = 20
First row of the first matrix multiplied by second column of the second matrix:
(5 * 9) + (5 * 7) = 45 + 35 = 80
Second row of the first matrix multiplied by first column of the second matrix:
(-2 * -4) + (3 * 8) = 8 + 24 = 32
Second row of the first matrix multiplied by second column of the second matrix:
(-2 * 9) + (3 * 7) = -18 + 21 = 3
Therefore, the product of the matrices [5 5];[-2 3] and [-4 9];[8 7] is:
[20 80]
[32 3]
Find the product
[5 5];[-2 3] [-4 9];[8 7]
1 answer