NTA CUET Mathematics With Fully Solved 2023 Papers by Pearson

CHAPTER 7

Matrices

CHAPTER AT A GLANCE

Definition

Any rectangular arrangement of numbers (real or complex) (or of real-valued or ­complex-valued expressions) is called a matrix. If a matrix has m rows and n columns then the order of the matrix is written as m × n and we call it as order m by n.

The general m × n matrix is:

A =

where a_ij denote the element of i^th row and j^th column. The above matrix is usually denoted as [a_ij]_{m × n}.

Notes:

• The elements a₁₁, a₂₂, a₃₃, … are called as diagonal elements. Their sum is called trace of A denoted as tr(A)
• Capital letters of English alphabets are used to denote matrices.
• Order of a matrix: If ...