Matrices - Online Test
Q2.
If A is square matrix such that , then is equal to
Answer : Option A
Explaination / Solution:
If A amd B are two square matrices of same order and the product AB= I, the matrix B is called inverse of matrix A.Therefore = I, then matrix A is the inverse of itself.
Q3. The system of linear equations ax+ b y= 0, cx + dy = 0 has a non-trival solution if
Answer : Option A
Explaination / Solution:
The given system of equations has a non – trivial solution if :
Q4. Two matrices A and B are multiplicative inverse of each other only if
Answer : Option C
Explaination / Solution:
If AB = BA = I , then A and B are inverse of each other. i.e. A is invers of B and B is inverse of A.
Q5.
If A and B are square matrices of the same order, then implies
Answer : Option C
Explaination / Solution:
If A and B are square matrices of same order , then , product of the matrices is not commutative.Therefore , the given result is true only when AB = BA.
Q7. The transformation ‘orthogonal projection on X-axis’ is given by the matrix
Answer : Option C
Explaination / Solution:
The orthogonal projection on x- axis is given by :
Q8. The equations, x + 4 y – 2 z = 3, 3 x + y + 5 z = 7, 2 x + 3y +z = 5 have
Answer : Option D
Explaination / Solution:
The given system of equations does not have solution if :
Q9. The system of equations, x + y + z = 6, x + 2 y + 3 z = 14, x + 3 y + 5z = 20 has
Answer : Option A
Explaination / Solution:
The given system of equations does not has a solution if :
Q10. If is the identity matrix of order n, the
Answer : Option C
Explaination / Solution:
Inverse of any identity matrix is always an identity matrix.
