Matrices

If A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 3]], then AB equals

The transpose of matrix A = [[1, 2, 3], [4, 5, 6]] is

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

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

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

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

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

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

A real square matrix A is orthogonal when it satisfies the relation A transpose times A equal to the...

A square matrix A is nilpotent if some positive integer power of A equals the zero matrix; the deter...

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...