Question

4
1 2
7. Let A =
1 3
13
B
-
9.c
Show that (i) A() = (ABC
1
1
2
(ii) (A - BC = AC - BC (iii) (A - B)' = A - B"
cos e
0
8. If A=
sin e
0
B=
then show that A + B = 1.
0
cos
0
sin 0
cos e
sin
9. If A =
sine cose
prove that AA' = 1.
5 -4
10. Verify that A = I when A=
-5
6
a
11. If A=
6
and I =
d
show that A - (a + d)A = (bc -- ad)I,
C
0 1
7
5 2 9
12. If A=
B = 1
1 2 8
2 verify that (AB)' = B^ AT
-1
5​

Answer 1

Answer:

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