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Formula Sheet

Matrices — Formula Sheet

CUSAT CAT · Mathematics

Free Matrices formula sheet for CUSAT CAT Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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A visual representation of a matrix, clearly showing its elements, rows, columns, and how its order (m x n) is defined. Highlight the 'a_ij' notation for elements.
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Formula Sheet — Matrices

Important formulas and equations from Matrices for CUSAT CAT Mathematics.

Formulas — Matrices

Matrix Fundamentals

A = [aᵢⱼ]ₘₓₙ
Order of matrix = m × n

Special Types of Matrices

Diagonal Matrix: aᵢⱼ = 0 for i ≠ j
Scalar Matrix: aᵢⱼ = k for i = j, aᵢⱼ = 0 for i ≠ j
Identity Matrix: aᵢⱼ = 1 for i = j, aᵢⱼ = 0 for i ≠ j

Matrix Operations

A + B = [aᵢⱼ + bᵢⱼ]
A - B = [aᵢⱼ - bᵢⱼ]
kA = [kaᵢⱼ]
AB = [Σⱼ aᵢⱼbⱼₖ] for (i,k)th element

Transpose of Matrix

A' = [bⱼᵢ] where bⱼᵢ = aᵢⱼ
(A + B)' = A' + B'
(AB)' = B'A'
(A')' = A

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Frequently Asked Questions

What topics are covered in Matrices for CUSAT CAT?
Matrices is an important chapter in CUSAT CAT Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Matrix Basics and Types, Matrix Operations - Addition and Subtraction, Scalar Multiplication and Matrix Multiplication, Transpose of Matrix.
How important is Matrices for CUSAT CAT?
Matrices is a frequently tested chapter in CUSAT CAT Mathematics. Questions from this chapter appear regularly in previous year papers. There are 321 practice questions available for this chapter.
How to prepare Matrices for CUSAT CAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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