matrices

Question 1

Matrix definition

Answer 1

A rectangular array of numbers arranged in rows and columns, if a matrix has m rows and n columns we call it an m x n matrix

Question 2

Matrix addition:

Answer 2

Only matrices of the same size can be added.

For m x n matrix A and o x p matrix B we define A + B only if m = o and n = p

Question 3

Matrix subtraction:

Answer 3

Only matrices of the same size can be subtracted.

For ,m x n matrix A, and ,o x p matrix B, we define A + B only if m = o and n = p

Question 4

Matrix multiplication:

Answer 4

Two matrices can only be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix

m x n matrix A, and ,o x p matrix B, can only be multiplied if n = o

3 x 4 matrix A and 4 x 7 matrix B can be multiplied

4 x 7 matrix B and 3 x 4 matrix A cannot be multiplied