NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices
NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices
NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices are very important not only to the class 12 CBSE students but also for the students who are going to appear in the entrance exam of engineering, NDA, and CDS. NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices are created here for clearing the doubts of students in chapter 3-Matrices for a better understanding of the concept which is required to solve the questions in the exam.NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices are solved by an expert of the subject.
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lutions for class 12 maths exercise 3.2 of chapter 3-Matrices are the solutions of all unsolved questions of exercise 3.2 of chapter 3-Matrices of the NCERT maths textbook. Matrix has huge applications in the field of business, economics, architect, geology, engineering and science, and technology. Here in this exercise, you will learn multiplication, division, addition, and subtraction of Matrices.
NCERT solutions for class 12 maths exercise 3.1 of chapter 3-Matrices
NCERT solutions of class 12 maths
Chapter 1-Relations and Functions | Chapter 9-Differential Equations |
Chapter 2-Inverse Trigonometric Functions | Chapter 10-Vector Algebra |
Chapter 3-Matrices | Chapter 11 – Three Dimensional Geometry |
Chapter 4-Determinants | Chapter 12-Linear Programming |
Chapter 5- Continuity and Differentiability | Chapter 13-Probability |
Chapter 6- Application of Derivation | CBSE Class 12- Question paper of maths 2021 with solutions |
Chapter 7- Integrals | |
Chapter 8-Application of Integrals |
Study notes of Maths and Science NCERT and CBSE from class 9 to 12
NCERT solutions for class 12 maths exercise 3.2 of chapter 3-Matrices
Q1.
Find each of the following.
(i) A + B (ii) A – B (iii) 3A – C (iv) AB (v) BA
Ans. (i) A + B
(ii) A – B
(iii) 3A – C
(iv) AB
(v) BA
Q2. Compute the following
Ans.
Q3. Compute the indicated products
Ans.
Ans.
Q4. If
Then compute ,(A +B) and (B – C). Also verify that A + (B – C) = (A + B) – C
Ans.
A + B
(B – C)
Now,we have to verify that A + (B – C) = (A + B) – C
LHS , A + (B – C) , Putting the value of A and (B – C)
RHS , (A + B) – C , Putting the value of C and (A+B )
Therefore , LHS = RHS, Verified
Then compute 3A – 5B
Ans. We have to get the value of 3A – 5B
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Q6. Simplify
Ans. We are given the expression
Simplifying it
Where I mean unit matrix
Q7. Find X and Y if
Ans.
(i) We are given
Adding both equations (i) and (ii),we have
Putting the value of X in equation (i)
(ii) We are given
Multiplying equation (1) by 3 and equation (2) by 2, we get equation (3) and equation (4)
(i) We are given
Subtracting equation (4) from equation (3)
Putting the value of Y in equation (i)
Q8. Find X, if
Ans. We are given
Putting the value of Y in equation (i)
Q9. Find X and Y, if
Two matrices are equal indicates that their corresponding elements would be equal.
2+ y = 5⇒ y = 5 – 2 = 3
2x + 2 = 8
2x = 8 – 2 = 6
x = 3
Hence x = 3 and y = 3
Q10. Solve the equation for x,y,z and t,if
Ans. We are given that
Simplifying LHS and RHS
Two matrices are equal indicates that their corresponding elements would be equal.
2x + 3 = 9 ⇒2 x = 9- 3 = 6 ⇒x = 3
2z – 3 = 15⇒ 2z = 15+ 3= 18 ⇒ z = 9
2y = 12 ⇒ y = 6
2t + 6 = 18 ⇒ 2t = 18 – 6 = 12⇒ t = 6
Hence value of x= 3, y= 6,z= 9 and t = 6
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Chapter 1-Relations and Functions | Chapter 9-Differential Equations |
Chapter 2-Inverse Trigonometric Functions | Chapter 10-Vector Algebra |
Chapter 3-Matrices | Chapter 11 – Three Dimensional Geometry |
Chapter 4-Determinants | Chapter 12-Linear Programming |
Chapter 5- Continuity and Differentiability | Chapter 13-Probability |
Chapter 6- Application of Derivation | CBSE Class 12- Question paper of maths 2021 with solutions |
Chapter 7- Integrals | |
Chapter 8-Application of Integrals |
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