1.
a) 1
b) 0
c) -7
d) 2
2.
a) 0
b) 27
c) 10
d) -11
3.
c) -36
d) 128
4. Solve
a) x = ± 1
b) x = 0, x = 1
c) Φ
d) x = 0, x = -1
5. If
calculate:
a) |B|=|C|=5
b) |B|=10,|C|=5
c) |B|=|C|=10
d) |B|=10,|C|=25/2
6. If
calculate A-1
a)
b)
c)
d) A is a singular matrix
7. Find the values of x to make A singular:
a) x = ±√7
b) x = 0
c) x = ±7
d) Φ
8. (PAEG- September 2014) Work out X in the following matrix equation: I3 - 2X + XA = B
a) X = (B - I)·(A - 2)-1
b) X = (A - 2I)-1·(B- I)
c) X = (B - I)·(A -2I)-1
d) X = (A - 2)-1·(B - I)
9. (PAEG- September 2014) Let the matrix equation
Work out and calculate the matix X.
d) It has no solution
10. Solve the following system of matrix equations:
d)
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