Chapter 3, Problem 31P

To determine

(a)

A $4\times 4$ matrix $A$ that hasrandom integer values between $1$ and $10$, and perform the operation $A\ast A$ using matrix $A$.

To determine

(b)

The $4\times 4$ matrix $A$ that has random integer values between $1$ and $10$, and perform the operation $A.*A$ using matrix $A$.

To determine

(c)

The $4\times 4$ matrix $A$ that has random integer values between $1$ and $10$, and perform the operation $A\backslash A$ using matrix $A$.

To determine

(d)

The $4\times 4$ matrix $A$ that has random integer values between $1$ and $10$, and perform the operation $A./A$ using matrix $A$.

To determine

(e)

The $4\times 4$ matrix $A$ that has random integer values between $1$ and $10$, and perform the operation $\det \left(A\right)$ using matrix $A$.

To determine

(f)

The $4\times 4$ matrix $A$ that has random integer values between $1$ and $10$, and perform the operation $\text{inv}\left(A\right)$ using matrix $A$.