3. 136.130: Test #3

20 minutes

Name:_____________________ Student Number: _______

 

1. Suppose and . Compute the following if possible, or state the reason why the operation could not be performed.

(a)

(b) 

(c)

(d)

can not be done since the number of columns in B (4) is not the same as the number of rows in A (2).

 

 

 

 

 

 

 

 

2. Find the inverse of the matrix A or show it does not exist.

(a) .

 

 

(b)

And since we will not get the identity matrix to the right of the vertical line (since the last row is zero), the matrix is not invertible.