Determinants

If |[x, 2], [3, 4]| = 10, then x equals

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

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

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

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

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

For two invertible square matrices A and B of the same order, the inverse of the product AB is corre...

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

Using Cramer's rule for the system 2x + 3y = 8 and 5x + 4y = 13, the value of the variable x obtaine...

Applying the property that adding a multiple of one row to another leaves a determinant unchanged, t...