Matrices questions
472 published questions with worked solutions.
- If A= bmatrix 0 & 1 1 & 0 bmatrix , then the matrix A is a/an
- If A is an identity matrix of order 3, then its inverse (A^ -1 )
- If the system of equations x + y + az = b, 2x + 5y + 2z = 6, x + 2y + 3z = 3 has infinitely many solutions, then 2a + 3b is equal...
- Let A = [a_ ij ]_ 2 2 , where a_ ij 0 for all i, j and A^2 = I. Let a be the sum of all diagonal elements of A and b = |A|. Then...
- Let A = bmatrix 2&1&0 1&2&-1 0&-1&2 bmatrix . If |adj(adj(adj2A))|=(16)^n, then n is equal to -
- Let P = bmatrix 3 2 & 1 2 - 1 2 & 3 2 bmatrix , A = bmatrix 1&1 0&1 bmatrix and Q = PAP^T. If P^TQ^ 2007 P= bmatrix a&b &d...
- If A = 1 5!6!7! bmatrix 5!&6!&7! 6!&7!&8! 7!&8!&9! bmatrix , then |adj(adj(2A))| is equal to -
- If A is a 3 × 3 matrix and |A| = 2, then |3adj|3A|A^2|| is equal to
- For the system of linear equations 2x – y + 3z = 5, 3x + 2y – z = 7, 4x + 5y + = , Which of the following is NOT correct?
- Let A be a 2 × 2 matrix with real entries such that A'= +1, where R- -1,1 . If det(A^2-A) = 4, the sum of all possible values of...
- Let A = bmatrix 0&1&2 &0&3 1&c&0 bmatrix , where a, c R. If A^3 = A and the positive value of a belongs to (n – 1, n], where n N,...
- Let A = bmatrix 1&1 0& 1 51 bmatrix . If B = bmatrix 1&2 -1&-1 bmatrix A = bmatrix -1&-2 1&1 bmatrix , then the sum of all the...
- Let for A = bmatrix 1&2&3 &3&1 1&1&2 bmatrix , |A| = 2. If |2adj(2adj(2A))|=32^n, then 3n + is equal to :
- The number of symmetric matrices of order 3, with all the entries from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is
- Let B = bmatrix 1&3& 1&2&3 & &4 bmatrix , > 2 be the adjoint of a matrix A and |A| = 2. Then [ -2 ]B bmatrix -2 bmatrix is equal...
- For the system of linear equations 2x + 4y + 2az = b, x + 2y + 3z = 4, 2x – 5y + 2z = 8 which of the following is NOT correct ?
- Let A be a 3 × 3 matrix such that |adj(adj(adjA))|=12^4. Then |A^ -1 adjA| is equal to
- If A and B are two non-zero n × n matrices such that A^2+B=A^2B, then
- Let A = bmatrix 1 10 & 3 10 - 3 10 & 1 10 bmatrix and B = bmatrix 1&-i 0&1 bmatrix , where i = -1 . If M = A^TBA, then the...
- Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A^ 13 B^ 26...
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