Problems solving with Matrices
[-3 1] * [ 4 7 0]
2 5 -3 -5 1
I'm stuck with this matrices. Please help me~~
To solve the problem, we need to perform matrix multiplication. Here's how you can do it step by step:
Step 1: Identify the dimensions of the matrices. The first matrix has dimensions 2x2 (2 rows and 2 columns), and the second matrix has dimensions 2x3 (2 rows and 3 columns).
Step 2: To perform matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. In this case, since the first matrix has 2 columns and the second matrix has 2 rows, we can proceed with the multiplication.
Step 3: Multiply the corresponding elements in the rows of the first matrix with the corresponding elements in the columns of the second matrix and sum them up.
Let's calculate it step by step:
First element of the resulting matrix:
(-3 * 4) + (1 * -3) = -12 - 3 = -15
Second element of the resulting matrix:
(-3 * 7) + (1 * -5) = -21 - 5 = -26
Third element of the resulting matrix:
(2 * 4) + (5 * -3) = 8 - 15 = -7
Fourth element of the resulting matrix:
(2 * 7) + (5 * -5) = 14 - 25 = -11
Fifth element of the resulting matrix:
(2 * 0) + (5 * 1) = 0 + 5 = 5
Sixth element of the resulting matrix:
(2 * 0) + (5 * -1) = 0 - 5 = -5
Therefore, the resulting matrix is:
[-15 -26 -7]
[-11 5 -5]
I hope this helps! Let me know if you have any further questions.