List of top Mathematics Questions on Properties of Determinants asked in COMEDK UGET

Let \( A \) be a square matrix of order \(3\times3\). If \( |A|=-4 \), then the value of \[ \left|\frac{A^{-1}}{-2}\right| \] is:

If \[ \begin{vmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2 \end{vmatrix}=0 \] then:

If $A$ is a skew-symmetric matrix of order $3$, then $|A|$ is:

If the matrix \[ A= \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \] then the value of $|A|$ is:

If the determinant of the matrix \[ \begin{vmatrix} 1 & 2 \\ 3 & x \end{vmatrix} \] is equal to $-2$, then the value of $x$ is:

Value of the determinant of a matrix \( A \) of order \( 3 \times 3 \) is 7Then the value of the determinant formed by the cofactors of matrix \( A \) is

The cofactor of the element \( a_{21} \) in the expansion of \[ \Delta = \begin{vmatrix} 1 & 4 & 4 -3 & 5 & 9 2 & 1 & 2 \end{vmatrix} \] is

If \( A(\text{adj} A) = \begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix} \), then the value of \( |A| + |\text{adj} A| \) is equal to :