Basic Matrices

These matrices are being multiplied. Determine the dimension/size of the new matrix.

• Can't multiply them

• 4  x  2

• 3  x  3

• 4  x  3

In Matrix R (pictured) what element is r₂₃ ?

• 8

• 9.01

• 6

• 1

The number of rows in a 4 x 8 matrix is?

• 4

• 8

• 12

• 32

If the order of matrix A is m x p. And the order of B is p x n . Then the order of matrix AB is ?

• m × n

• n × m

• n × p

• m × p

The multiplication of the above matrices gives a

• 3 x 1 matrix.

• 1 x 3 matrix.

• 1 x 1 matrix.

• 3 x 3 matrix.

• none of the above

The number of columns in a 4 x 2 matrix is?

• 2

• 4

• 6

• 8

If a matrix has equal number of rows and columns, then it is said to be

• row matrix

• identical matrix

• square matrix

• rectangular matrix

If A and B are matrices, then which from the following is true

• A + B ≠ B + A

• (A^T)^T ≠ A

• AB ≠ BA

• all are true

We can add two matrices if their

• order is the same

• rows are the same

• columns are the same

• elements are the same

The addition of the above matrices gives a

• 3 x 3 matrix

• 3 x 2 matrix

• 2 x 3 matrix

• 2 x 2 matrix

• none of the above