Matrices questions
472 published questions with worked solutions.
- If A= bmatrix 1&-1 -1&1 bmatrix , then the expression A^3-2A^2 is
- If A= pmatrix 1&2 2&3 3&4 pmatrix and B= pmatrix 1&2 2&1 pmatrix , then which one of the following is correct?
- If matrix A= bmatrix 1-i&i -i&1-i bmatrix where i= -1 , then which one of the following is correct?
- Let A= bmatrix a&h&g &b&f &f&c bmatrix and B= bmatrix x bmatrix , then what is AB equal to?
- If A is a matrix of order 3 5 and B is a matrix of order 5 3, then the order of AB and BA will respectively be
- Consider the following in respect of a non-singular matrix of order 3 : 1. A( adj ,A)=( adj ,A)A 2. | adj ,A|=|A| Which of the...
- Consider the following in respect of the matrices : A=[m n], B=[-n -m] and C= bmatrix m -m bmatrix 1. CA=CB 2. AC=BC 3....
- If A= bmatrix 2 & &0 -2 & &0 -1&1&1 bmatrix , then what is A(adjA) equal to? where I is the identity matrix.
- Let A be a non-singular matrix and B=adjA. Which of the following statements is/are correct? 1. AB=BA 2. AB is a scalar matrix 3....
- Consider the following statements in respect of square matrices A and B of same order : 1. If AB is a null matrix, then at least...
- Let A and B be non-singular matrices of the same order such that AB=A and BA=B. Which of the following statements is/are correct?...
- If A= pmatrix 1&0&0 0& & 0& &- pmatrix , then which of the following are correct? 1. A+adjA is a null matrix 2. A^ -1 +adjA is a...
- If X is a matrix of order 3 3, Y is a matrix of order 2 3 and Z is a matrix of order 3 2, then which of the following are...
- Let A be a matrix of order 3 3 and |A|=4. If |2 , adj (3A)|=2^ 3^ , then what is the value of ( + )?
- Let A and B be symmetric matrices of same order, then which one of the following is correct regarding (AB-BA)? 1. Its diagonal...
- Consider the following statements in respect of square matrices A, B, C each of same order n : 1. AB=AC B=C if A is non-singular...
- The system of linear equations x+2y+z=4, 2x+4y+2z=8 and 3x+6y+3z=10 has
- Let AX=B be a system of 3 linear equations with 3-unknowns. Let X_1 and X_2 be its two distinct solutions. If the combination...
- Let A be a skew-symmetric matrix of order 3. What is the value of (4A^4)- (3A^3)+ (2A^2)- (A)+ (-I) where I is the identity...
- If A= bmatrix 0&3&4 -3&0&5 -4&-5&0 bmatrix , then which one of the following statements is correct?
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