# NCERT Solutions for Class 12 Maths Matrices

Hi Students, Welcome to **Amans Maths Blogs (AMB)**. In this post, you will get the * NCERT Solutions for Class 12 Maths Matrices Exercise 3.2*. This

**can be downloaded in PDF file. The downloading link is given at last.**

*NCERT Solutions** NCERT Solutions for Class 12 Maths* are not only the solutions of Maths exercise but it builds your foundation of other important subjects. Getting knowledge of depth concept of

*like Algebra, Calculus, Trigonometry, Coordinate Geometry help you to understand the concept of Physics and Physical Chemistry.*

**CBSE Class 12**^{th}Maths* CBSE Class 12^{th}* is an important school class in your life as you take some serious decision about your career. And out of all subjects, Maths is an important and core subjects. So

*is major role in your exam preparation as it has detailed chapter wise solutions for all exercise.*

**CBSE NCERT Solutions for Class 12**^{th}MathsAs we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the **CBSE NCERT Syllabus**. Thus, * NCERT Solutions* helps the students to solve the exercise questions as given in

*.*

**NCERT Books**## NCERT Solutions for Class 12 Maths Matrices Exercise 3.2

**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 1.**

Let .

(i) Find (A + B)

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The value of A + B is .

(ii) Find (A – B)

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The value of A – B is .

(iii) Find (3A – C)

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The value of 3A – C is

.

(iv) Find AB

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The value of AB is

(v) Find BA

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The value of BA is

**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 2.**

Compute the following:

(i)

.

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(ii)

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(iii)

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(iv)

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 3.**

Compute the indicated product:

(i)

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(ii)

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(iii)

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(iv)

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(v)

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(vi)

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 4.**

If then compute (A+B) and (B – C). Also, verify that A + (B – C) = (A + B) – C.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 5.**

If then compute 3A – 5B.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 6.**

Simplify

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 7.**

Find X and Y, if

(i)

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(ii)

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 8.**

Find X, if

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 9.**

Find x and y, if

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 10.**

Solve the equation for x, y, z and t, if

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 11.**

If , then find the value of x and y.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 12.**

Given , find the values of x, y, z and w.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 13.**

If , show that F(x)F(y) = F(x + y).

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 14.**

Show that

(i)

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(ii)

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 15.**

Find A^{2} – 5A + 6I, if

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 16.**

If , prove that A^{3} – 6A^{2} + 7A + 2I = 0

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 17.**

If , find k so that A^{2} = kA – 2I.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 18.**

If and I is the identity matrix of order 2, show that.

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 19.**

A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of (a) Rs. 1800 and (b) Rs. 2000

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 20.**

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

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Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k,

respectively. Choose the correct answer in question no. 21 and 22.

**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 21.**

The restriction on n, k and p so that PY + WY will be defined are:

(A) k = 3, p = n (B) k is arbitrary, p = 2 (C) p is arbitrary, k = 3 (D) k = 2, p = 3

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**NCERT Solutions for Class 12 Maths Matrices ****Exercise**** 3.2: Ques No 22.**

If n = p, then the order of the matrix 7X – 5Z is:

(A) p x 2 (B) 2 x n (C) n x 3 (D) p x n

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