Matrices questions
472 published questions with worked solutions.
- What is the order of [x y z] bmatrix a&h&g &b&f &f&c bmatrix bmatrix x bmatrix ?
- If A= bmatrix 0&1 1&0 bmatrix , then the value of A^4 is
- The matrix A has x rows and x+5 columns. The matrix B has y rows and 11-y columns. Both AB and BA exist. What are the values of x...
- If and are the roots of the equation 1+x+x^2=0, then the matrix product bmatrix 1& & bmatrix bmatrix & 1& bmatrix is equal to
- If A is a square matrix, then the value of adj ,A^T-( adj ,A)^T is equal to
- If a, b, c are non-zero real numbers, then the inverse of the matrix A= bmatrix a&0&0 0&b&0 0&0&c bmatrix is equal to
- The adjoint of the matrix A= bmatrix 1&0&2 2&1&0 0&3&1 bmatrix is
- If A= pmatrix -2&2 2&-2 pmatrix , then which one of the following is correct?
- What is the inverse of the matrix A= pmatrix & &0 - & &0 0&0&1 pmatrix ?
- If A is a 2 3 matrix and AB is a 2 5 matrix, then B must be a
- If A= pmatrix 1&2 2&3 pmatrix and A^2-kA-I_2=O, where I_2 is the 2 2 identity matrix, then what is the value of k?
- A square matrix A is called orthogonal if (where A' is the transpose of A)
- For a square matrix A, which of the following properties hold? 1. (A^ -1 )^ -1 =A 2. (A^ -1 )= 1 A 3. ( A)^ -1 = A^ -1 where is a...
- What is the adjoint of the matrix pmatrix (- )&- (- ) - (- )& (- ) pmatrix ?
- If A and B are two invertible square matrices of same order, then what is (AB)^ -1 equal to?
- What should be the value of x so that the matrix pmatrix 2&4 -8&x pmatrix does **not** have an inverse?
- If u, v and w (all positive) are the p^ th , q^ th and r^ th terms of a GP, then the determinant of the matrix pmatrix u&p&1...
- Consider the following in respect of matrices A, B and C of same order : 1. (A+B+C)'=A'+B'+C' 2. (AB)'=A'B' 3. (ABC)'=C'B'A'...
- Let matrix B be the adjoint of a square matrix A, I be the identity matrix of same order as A. If k ( 0) is the determinant of...
- Consider the following in respect of matrices A and B of same order : 1. A^2-B^2=(A+B)(A-B) 2. (A-I)(I+A)=O A^2=I where I is the...
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