Question

HELP ME!!!
Find the resulting vector matrix of this matrix multiplication.

The resulting matrix is , where a = and b = .

Answer 1

Answer:

a = 2 and b = 2

Step-by-step explanation:

It is given a matrix multiplication,

To find the value of a and b

It is given that,

| 3  2 |  *  | -2 |    =   | a |

|-1  0 |     |  4 |         | b |

We can write,

a = (3 * -2) + (2 * 4)

 = -6 + 8

 = 2

b = (-1 * -2) + (0 * 4)

 = 2 + 0

 = 2

Therefore the value of  a = 2 and b = 2

Answer 2

Answer:

a=2 and b=2.

Step-by-step explanation:

The given matrix multiplication is

$\begin{bmatrix}3&2\\ -1&0\end{bmatrix}\begin{bmatrix}-2\\ 4\end{bmatrix}$

We need to resulting vector matrix of this matrix multiplication.

$\begin{bmatrix}3\left(-2\right)+2\cdot \:4\\ \left(-1\right)\left(-2\right)+0\cdot \:4\end{bmatrix}$

$\begin{bmatrix}2\\ 2\end{bmatrix}$

It is given that $\begin{bmatrix}a\\ b\end{bmatrix}$ is resulting matrix.

$\begin{bmatrix}2\\ 2\end{bmatrix}=\begin{bmatrix}a\\ b\end{bmatrix}$

On comparing both sides, we get

$a=2,b=2$

Hence, a=2 and b=2.