Matrices questions
472 published questions with worked solutions.
- If A= bmatrix 1& & ^2 & ^2&1 ^2&1& bmatrix , B= bmatrix & ^2&1 ^2&1& & ^2&1 bmatrix and C= bmatrix 1 ^2 bmatrix where is the...
- If A= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and B= bmatrix a^2&ab&ac &b^2&bc &cb&c^2 bmatrix then AB is equal to
- If A be a matrix such that A bmatrix 1&-2 1&4 bmatrix = bmatrix 6&0 0&6 bmatrix then A is
- The system of equations cases x+y+z=2 2x-y+3z=5 -2y-z+1=0 cases written in matrix form is
- If bmatrix 1&x&1 bmatrix bmatrix 1&3&2 2&5&1 15&3&2 bmatrix bmatrix 1 2 bmatrix =0 then x is
- If bmatrix x+y&y 2x&x-y bmatrix bmatrix 2 -1 bmatrix = bmatrix 3 2 bmatrix then x y is equal to
- bmatrix 1&-2&3 2&-1&4 3&4&1 bmatrix is a
- If A= bmatrix 3&1 -1&2 0&6 bmatrix and B= bmatrix 5&4&6 4&1&2 -5&-1&1 bmatrix then
- If A= bmatrix 1&1&1 1&1&1 1&1&1 bmatrix then
- The possible number of different orders that a matrix can have when it has 24 elements, is
- If the system of equations x+ay=az+y=ax+z=0 has infinite solutions then a is
- If A be a 3 3 matrix and I be the unit matrix of that order such that A=A^2+I then A^ -1 is equal to
- If A = bmatrix a & b b & a bmatrix and A^2 = bmatrix & & bmatrix then
- Let A = bmatrix 0 & 0 & -1 0 & -1 & 0 -1 & 0 & 0 bmatrix . The only correct statement about the matrix A is
- If a_1, a_2, a_3, are in GP then the value of the determinant vmatrix a_1 & a_ n+1 & a_ 2n+1 a_2 & a_ n+2 & a_ 2n+2 a_3 & a_ n+3...
- If the system of equations x - ky - z = 0, kx - y - z = 0 and x + y - z = 0 has a nonzero solution then the possible values of k...
- If A = bmatrix 1 & 0 & 0 0 & 1 & 1 0 & -2 & 4 bmatrix and A^ -1 = 16(A^2 + cA + dI), where I is the identity matrix, then the...
- Let = - 12 + i 3 2 . Then the value of the determinant vmatrix 1 & 1 & 1 1 & -1- ^2 & ^2 1 & ^2 & ^4 vmatrix is
- The number of values of k for which the system of equations cases (k+1)x + 8y = 4k, k x + (k+3)y = 3k - 1 cases has infinitely...
- Let 0 < < 2 be a fixed angle. If P = ( , ) and Q = ( ( - ), ( - ) ) then Q is obtained from P by
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