Question

HELP ME!!!

Find the resulting vector matrix of this matrix multiplication.

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

Answer 1

a=2 and b=2.

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.

Answer 2

a = 2 and b = 2

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