Q48. - Algebra 2

Question

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

Step-by-Step Solution

Answer

The matrix is impossible.

Step 1 - State the definition of a matrix.

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

Step 2 - 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

Step 3 - State the conclusion.

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