The number of all possible matrices of order 3×3 with each entry 0 if 1 is
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Two matrices A and B are multiplicative inverse of each other only if
For what value of λ the following system of equations does not have a solution ? x + y + z = 6, 4x + λy  λz = 0, 3 x + 2y – 4 z =  5
If A and B are square matrices of the same order, then(A+B)^{2} = A^{2}+2AB+B^{2} implies
The value of λ, for which system of equations. x + y + z = 1, x + 2y + 2z = 3, x + 2y + λz = 4, have no solution is
If P is of order 2 × 3 and Q is of order 3 × 2, then PQ is of order
A square matrix A = [a_{ij}]_{n×n} is called a lower triangular matrix if a_{ij} = 0 for
The transformation ‘orthogonal projection on Xaxis’ is given by the matrix
The number of all the possible matrices of order 2 × 2 with each entry 0, 1 or 2 is
A square matrix A = [a_{ij}]_{n×n }is called an upper triangular if a_{ij} = 0 for
The equations, x + 4 y – 2 z = 3, 3 x + y + 5 z = 7, 2 x + 3y +z = 5 have
If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a nonzero solution,then a, b, c are in
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209 videos443 docs143 tests
