NCERT Exemplar Class 12 Maths Chapter 3 Matrices are part of NCERT Exemplar Class 12 Maths. Here we have given Exemplar Problems for Class 12 Maths Chapter 3 Matrices PDF.

## NCERT Exemplar Class 12 Maths Chapter 3 Matrices

NCERT Exemplar Class 12 Maths Chapter 3 Matrices Solutions is given below.

**Short Answer Type Questions**

**Long Answer Type Questions**

**Objective Type Questions**

**Fill In the Blanks Type Questions**

**True/False Type Questions**

**82. A matrix denotes a number.**

** Sol.** False

A matrix is an ordered rectangular array of numbers of functions.

**83. Matrices of any order can be added.**

** Sol.** False

Two matrices are added, if they are of the same order.

**84. Two matrices are equal if they have same number of rows and same number of columns.**

** Sol.** False

If two matrices have same number of rows and same number of columns, we cannot say two matrices are equal as their corresponding elements may be different.

**85. Matrices of different order cannot be subtracted.**

** Sol.** True

Two matrices of same order can be subtracted

**86. Matrix addition is associative as well as commutative.**

** Sol.** True

Matrix addition is associative as well as commutative i.e.,

(A + B) + C = A + (B + C) and A + B = B + A, where A, B and C are matrices of same order.

**87. Matrix multiplication is commutative.**

** Sol.** False

If AB is defined, it is not necessary that BA is defined.

Also if AB and BA are defined, it not”necessary that they have same order. Further if AB and BA are defined and have same order, it is not necessary their corresponding elements are equal.

So, in general AB^BA

**88. A square matrix where every element is unity is called an identity matrix.**

** Sol.** False

Since, in an identity matrix, the diagonal elements are one and rest are all zero.

**89. If A and B are two square matrices of the same order, then A + B = B + A.**

** Sol.** True

Since, matrix addition is commutative i.e., A + B = B +A, where A and B are two square matrices.

**90. If A and B are two matrices of the same order, then A-B = B-A.**

** Sol.** False

A-B = -(B-A)

Thus A-Bâ‰ B-A

However when A – B = B – A

A-B = 0 or A =B

**92. Transpose of a column matrix is a column matrix. False**

** Sol**.Transpose of a column matrix is a row matrix.

**93. If A and B are two square matrices of the same order, then AB = BA. False**

** Sol.**For two square matrices of same order it is not always true that AB = BA.

## NCERT Exemplar Class 12 Maths Solutions

- Chapter 1 Relations and Functions
- Chapter 2 Inverse Trigonometric Functions
- Chapter 3Â Matrices
- Chapter 4 Determinants
- Chapter 5Â Continuity and Differentiability
- Chapter 6Â Application of Derivatives
- Chapter 7Â Integrals
- Chapter 8Â Applications of Integrals
- Chapter 9Â Differential Equations
- Chapter 10Â Vector Algebra
- Chapter 11Â Three Dimensional Geometry
- Chapter 12Â Linear Programming
- Chapter 13Â Probability

**More Resources for Class 12 Maths**

- NCERT Exemplar
- NCERT Exemplar Class 12 Maths Solutions
- Class 12 Maths NCERT Solutions
- RD Sharma Class 12 Solutions
- Class 12 Maths Important Questions

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