Question

Let a = a b c p q r u v w and assume that det a = 3. Compute:

Answer 1

To compute a², we need to square each element of the matrix a.

Step-by-step explanation:

Matrix multiplication is a binary operation that takes two matrices, say A and B, and produces another matrix, often denoted as C, where the entries of C are obtained by multiplying the elements of A and B in a specific way.

Let a = abc pqr uvw and assume that det a = 3. To compute:

a², we can square each element of the matrix:

a² = (a b c p q r u v w) x (a b c p q r u v w)

= (a x a + b x p + c x u) (a x b + b x q + c x v) (a x c + b x r + c x w) (p x a + q x p + r x u) (p x b + q x q + r x v) (p x c + q x r + r x w) (u x a + v x q + w x u) (u x b + v x q + w x v) (u x c + v x r + w x w)

By performing the matrix multiplication and simplification, we can calculate a².

Matrix multiplication is a fundamental operation in linear algebra and is widely used in various fields, including computer science, physics, engineering, and statistics.