Questions from College Mathematics

Q: Evaluate the expression. If the answer is not an integer,

Evaluate the expression. If the answer is not an integer, round to four decimal places. 9!

Q: Find the inverse of each matrix, if it exists.

Find the inverse of each matrix, if it exists.

Q: Find the inverse of each matrix, if it exists.

Find the inverse of each matrix, if it exists.

Q: Find the inverse of each matrix, if it exists.

Find the inverse of each matrix, if it exists.

Q: Show that (AB) -1 = B-1 A

Show that (AB) -1 = B-1 A-1 for.

Q: Discuss the existence of M-1 for 2 x 2 upper

Discuss the existence of M-1 for 2 x 2 upper triangular matrices of the form. Generalize your conclusions to n x n upper triangular matrices.

Q: find A-1 and A2 . /

find A-1 and A2 .

Q: Based on your observations, if A = A-1 for

Based on your observations, if A = A-1 for a square matrix A, what is A2 ? Give a mathematical argument to support your conclusion.

Q: Encode the message “FINITE INCANTATEM” using matrix A.

Encode the message “FINITE INCANTATEM” using matrix A.

Q: The following message was encoded with matrix A. Decode this message

The following message was encoded with matrix A. Decode this message: