Perform the indicated operation:      

Solve for x:         

If the dimension of is 3×5 and the dimension of is 3×5, then dimension of is [b1] x [b2]. If the dimension of is 3×4 and the dimension of is 4×3, then dimension of  is [ba1] x [ba2].

[a] If is reducible to the identity matrix, then is invertible. [c] The inverse of the inverse of an invertible matrix is the matrix itself. [d] If and , then  is singular.

If the dimension of is 5×3 and the dimension of is 5×7, then dimension of is [b1] x [b2]. If the dimension of is 4×3 and the dimension of is 3×4, then dimension of  is [ba1] x [ba2].

Given the following matrix and vectors:

Select ALL correct answers. Choose linear equations among equations listed below.

A subspace of a vector space is a subset of that has three properties: Select all correct answers.

I have shown both sides of my formula sheet and both sides of all my scratch papers to the camera. By selecting “True” below, I understand that there will no tolerance towards academic dishonesty, and that cheating (in any form) can and will lead to automatic failure from this course as well as a report to the Academic Integrity Committee.

The ENTIRE END OF A BONE indicated by the blue bracket is the _______________ of the bone: