Determinants

The value of the determinant |[2, 3], [4, 5]| is

The determinant |[1, 2, 3], [4, 5, 6], [7, 8, 9]| equals

If A and B are square matrices of order 3 such that |A| = 2 and |B| = 3, then |AB| equals

If two rows of a determinant are identical, then the value of the determinant is

The area of the triangle with vertices at the points (1, 2), (4, 6) and (7, 2) in the coordinate pla...

Let A be the two by two matrix with rows (2, 1) and (1, 2); using the Cayley-Hamilton theorem, the m...

For any skew-symmetric matrix of odd order, the determinant always takes a fixed value; the determin...

The homogeneous system of equations with coefficient matrix rows (1, 2, 3), (2, k, 6) and (1, 1, 1) ...

The value of the real parameter k for which the matrix with rows (k, 2, 3), (2, k, 1) and (3, 1, k) ...

If A and B are square matrices of order 3 with det(A) = 3 and det(B) = -2, then the determinant of t...

A square matrix A is called idempotent when it satisfies A squared equal to A; for such a matrix the...

If A is a square matrix of order 2 with trace equal to 5 and determinant equal to 6, then the sum of...