Question

Directions: Find each product, if poss 1. [[4,-1,0],[8,4,-3]]*[[-2],[5],[1]]

Answer 1

To find the product of two matrices, perform the dot product of the rows of the first matrix and the columns of the second matrix. The resulting product is [[-13],[1]].

Step-by-step explanation:

To find the product of two matrices, we perform the dot product between the rows of the first matrix and the columns of the second matrix. In this case, we have:

• Multiplying the first row of the first matrix by the first column of the second matrix, we get: (4)(-2) + (-1)(5) + (0)(1) = -8 - 5 + 0 = -13
• Multiplying the second row of the first matrix by the first column of the second matrix, we get: (8)(-2) + (4)(5) + (-3)(1) = -16 + 20 - 3 = 1

Therefore, the product of the two matrices is:

[[-13],[1]]