Test: Matrices & Determinants(May 7) - JEE MCQ

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

If A is any square matrix, then

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 non-zero solution,then a, b, c are in

If I₃ is the identity matrix of order 3 , then 1₃⁻¹ is

If A and B are square matrices of same order and A’ denotes the transpose of A , then

A square matrix A is invertible iff det A is equal to

If the entries in a 3 x 3 determinant are either 0 or 1 , then the greatest value of this determinant is :

The roots of the equation  are

In a third order determinant, each element of the first column consists of sum of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms. Then it can be decomposed into n determinants, where n has value