Question

Perform the indicated matrix operations. If the matrix does not exist, write impossible48.$\left[\begin{array}{ccc}3& 5& 9\end{array}\right]+\left[\begin{array}{c}5\\ 2\\ 6\end{array}\right]$

Short answer

The matrix isimpossible.

Step-by-step solution

- State the definition of a matrix.

A rectangular array of numbers arranged in rows and columns is called a matrix.

- Solve the matrix.

Here the operation to be performed is subtraction.

Matrices can be subtracted if they are of the same dimension.

Here, the matrices $\left[\begin{array}{ccc}3& 5& 9\end{array}\right]$ is of dimension $(1\times 3)$ and

the matrix $\left[\begin{array}{c}5\\ 2\\ 6\end{array}\right]$ is of dimension $(3\times 1)$.

As the dimensions are not same, so subtraction of matrices cannot be possible

- State the conclusion.

Therefore, here the matrix does not exist. So, impossible.