Practice Questions on Matrices

What are the necessary conditions for 2 matrix to multiply?

2 matrices could only be multiplied if the number of columns of the first matrix are equal to number of rows of the second matrix.

How to multiply a matrix with a scalar quantity?

If we want to multiply a scalar value “k” , then it will be multiplied with all the elements in the matrix.

When do we say that 2 matrices are equal?

Two matrices A and B are said to be same if they have the same number of rows and columns and each entry of the first matrix is equal to second matrix i.e. A_ij = B_ij

What is the value of the determinant of a matrix if n = m = 1, where n = number of rows and m = number of columns

Value of the determinant of the matrix with n = m = 1, it will the value of the element which is present in the matrix itself.

What is the necessary condition for the inverse of the matrix to exist?

Inverse of the matrix exist only and only if A is non-singular i.e. |A| ≠ 0

Matrices are rectangular arrays of numbers, symbols, or characters where all of these elements are arranged in each row and column. An array is a collection of items arranged at different locations.