If two matrices have the same numbers in them, then they are equal. T/F. Explain with example.

We will use the concept of matrices to find the answer.

Answer: False

Let's see how we will use the concept of matrices to find the answer.

Explanation:

Two matrices are called equal matrices if they have the same order or dimension and the corresponding elements are equal. Suppose A and B are the matrices of equal order m and n and A _{m × n} = B _{m × n}, then A and B are called equal matrices.

Let us suppose we have a row matrix [ 1  2  8 ] and a column matrix as [ 1  2  8 ]^-1 

Then, we find that the row matrix is of the order 1 × 0 and the column matrix is of order 0 × 1. So, despite two matrices having the same elements, the matrices are not equal because their order is not the same.

Hence, for two matrices to be equal, their elements, order and dimensions everything should be equal.