Matrices

Content

  • Matrix
  • Addition, Subtraction and Scalar Multiplication of Matrices
  • Multiplication of a Matrix by another Matrix

Matrix

Matrix is an arrangement of elements in rows and columns enclosed in brackets.

If a matrix has only one row, it is called row matrix.

If a matrix has only one column, it is called column matrix.

If a matrix has equal number of rows and columns, it is called square matrix.

Order of a matrix is Number of rows x Number of columns.

Order of Matrix B is 2 x 2

Addition, Subtraction, Scalar Multiplication of Matrices

Two matrices can be added or subtracted if they are of the same order.

Add or subtract corresponding elements.

Scalar multiplication is the operation of multiplying a matrix by a scalar(number).

Multiply all elements in the matrix by the scalar.

Multiplication of a Matrix by another Matrix

Two matrices can only be multiplied if number of columns of first matrix = number of rows of second matrix.