Lecture 3

1. Matrices are given    a .  Calculate:

a)


b)


c)


2. Matrices are given    a . Calculate:

a)


b)


3. Compute the product of matrices     a .


4. Determine the rank of the following matrices and decide which are regular (non-singular) and
which are singular.

a)                                               b)


c)                                         d)


5. Calculate inversion matrices for following matrices:

a)

b)


c)


6. Solve the matrix equations, where  , , .

a)


b)


c)