Matrices NCERT Solutions

NCERT Exercise 3.1 Q: 6-10

Question :6: Find the values of x, y and z from the following equations:

Solution:

Putting the value of x and y in eqⁿ (i) from eqⁿ (ii) and (iii)

Question :7: Find the value of a, b, c, and d, from the equation:

Solution: Given,

Putting b=a-1 in equation 2a-b=0 we get

Putting a=1 in 2a+c=5 we get

Question:8: is a square matrix, if

(A) m < n (B) m > n (C) m = n (D) none of these

Solution:

is square matrix

For square matrix m = n

Answer is (C)

Question :9: Which of the given values of x and y make the following pair of matrices equal?

Solution:

are not equal then it is impossible to find the values of x, y.

Therefore, answer is option (B)

Question:10: The number of all possible matrices of order 3x3 with each entry 0 or 1 is :

1. 27
2. 18
3. 81
4. 512

Solution: There are 3 x 3 = 9 entries in a 3 x 3 matrix. And there are two potions 0 or 1 for each entry

Therefore, number of possible matrices are

2⁹ = 512

Thus answer is (D) 512

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