# How do you multiply matrices given #A=((0, 2, 1), (-5, -1, 0))# and #B=((1, -4), (0, 1), (5, -1))#?

The answer is

If you possess the ability to multiply two matrices

Consequently,

By signing up, you agree to our Terms of Service and Privacy Policy

To multiply matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. In this case, A is a 2x3 matrix and B is a 3x2 matrix, so multiplication is possible.

The resulting matrix will have dimensions equal to the number of rows in matrix A and the number of columns in matrix B, which is a 2x2 matrix.

To calculate the elements of the resulting matrix, each element in the resulting matrix is obtained by taking the dot product of the corresponding row of matrix A and the corresponding column of matrix B.

Let's denote the resulting matrix as C.

[C_{ij} = \sum_{k=1}^{3} A_{ik} \cdot B_{kj}]

[C_{11} = (0 \cdot 1) + (2 \cdot 0) + (1 \cdot 5) = 5]

[C_{12} = (0 \cdot (-4)) + (2 \cdot 1) + (1 \cdot (-1)) = 1]

[C_{21} = (-5 \cdot 1) + (-1 \cdot 0) + (0 \cdot 5) = -5]

[C_{22} = (-5 \cdot (-4)) + (-1 \cdot 1) + (0 \cdot (-1)) = 19]

Therefore, the resulting matrix C is:

[C = \begin{pmatrix} 5 & 1 \ -5 & 19 \end{pmatrix}]

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7