Page 77 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes 2
(c) y 7,x
3
1 2
(d) x ,y .
3 3

8. If A + B are symmetric matrices of same order, then AB - BA is a
(a) Skew symmetric matrix
(b) Symmetric matrix
(c) Zero matrix

(d) Identify matrix
cos sin
9. If A , Then A A , I If value of is
sin cos

(a)
6

(b)
3
(c)

3
(d)
2
3.9 Review Questions

1 2 3
1. If A 3 2 1 then show that A 3 23A 40I 0
4 2 1

1 2 3 3 1 2 4 1 2
2. If A 5 0 2 ,B 4 2 5 and C 0 3 2 then complete (A + B) and (B C)
1 1 1 2 0 3 1 2 3
Verify that A + (B C) = (A + B) C.

cos sin sin cos
3. Simplify cos sin
sin cos cos sin
4. Show that

6 7 9 2 4 1 2 4 1 6 7 9
2 4 3 6 7 9 6 7 9 2 4 3
1 2 4 9 2 3 9 2 3 1 2 4

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