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Maths Assignment Class 12 Chapter 3 | Matrices
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Mathematics Assignment Class 12
Chapter 3 | Matrices
Mathematics assignment for class XII chapter 3, Extra questions with answer key on chapter 3 matrices strictly according to the CBSE syllabus and very useful for examinations.
Mathematics Assignment On Matrices
Class XII Chapter 3
Question 1
For the matrix A = , find (A - A'), where A' is the transpose of matrix A.
Ans:
Question 2
Construct a 2 x 3 matrix whose elements in the ith row and the jth column are given by .
Ans:
Question 3
Find a matrix X such that 2A + B + X = 0, where
A = B =
Ans:
Question 4
If A = , find k such that A2 = KA – 2I
Ans: K = 1
Question 5
Solve for x and y ; =
Ans: x = 5, y = 3
Question 6
If A = , find a matrix B such that AB = I
Ans:
Question 7
If B is a skew symmetric matrix, write whether the matrix (ABA') is symmetric or skew symmetric matrix
Ans: Skew symmetric matrix
Question 8
Show that matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric matrix.
Question 9
Simplify: +
Ans:
Question 10
If A = , find x, 0 < x < π/2 , when A + A' = I
Ans: x = π / 3
Question 11
Let A = , express A as sum of two matrices such as one is symmetric and other is skew symmetric.
Ansswer
If A = , find A2 – 5A +4I and hence find a matrix X such that A2 – 5A + 4I + X = 0
Ans:
Question 13
If A = , then show that A2 – 4A - 5I = O and hence find A-1
Question: 21
Answer:
Answer: Yes it is an orthogonal matrix
Solution Hint
⟶ School Article ↓ |
X |
Y |
Z |
Hand-Held
Fans Mats Toys |
30 12 70 |
40 15 55 |
35 20 75 |
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