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Exercise Q # 1 : Find order of following matrices, A = 1 25 8] B= [ 3 0] C= [ 2 4] D = ] F = [2] Q # 2 :- If ja+3 4] = [ - 3 47 then find valueof a and b . Q# 3 :- Find hanspose of following matrices. B= [S 1 6 ] D = [ 3 3] E= [ 3 4] Q# 4:- Verify that (AtIt = A if A = [ 6 7] (# 5 : - If A = [ ] ;] , B= ], ] , ( = [ 1 -1 2] and then find Scanned with CamScanner 4 ) ( 1 ) B 1 ) 1 - 2 ) C $) 3DQue In the mahices At ? " Joel! ? !] and C 2 2 3 31 verily D AIC= CAA 3 NIB, BIA 3. A + (bic ) = QIB) IC. 2AT ? B- 2 ( A IB) 5 , A + ( B- C ) = ( A-C ) + B. 6 # 7:- If A= [ 3 2] and B= ['s "3/ Find 1) 3A- 213 2 ) 2 At - 3 B 3 , ( +B ) Q # 8 - If 25 2 3 6 ] + 3 [ 8 64) = 1 78 '0] then find a and b . Q# 9 : - Find following products. [ "'s ] [z 1] a 3 , [ - 3 0 ] [ 3 ]Verify . 1) AB = BA 2) A(BC ) = (AB)C . 3, A (B + ( ) = AB + AC. Q # 11 :- Verify ( AB) * = B* At if A = ] " 3 ] land B = [:3 2 5] ( # 12 :- Find determinant of following matrices. 1) A= [- !] 2 ) 13 = [ 2 32 7 3 , C = [ 3 3 32 ] 4 1 0 = [ 3, 2] 6# 13 : - Find which matrix is sinquial non - singular ? 1) A = 3 4] 2, B = [8 ! ] 3, C = [ 3 - ;] 4, D= [ 5 2 - 4 ] Q# 14:- 9f A= ( ", 2 ] , B= S - y -7] then verify that ( AB )' = B" A ! Q # 15. If A= S i o; ] show that A = I,. Q # 16 : If A= [ 1 2, ] and A2 = [ ", ] then find value of a and b. #17i Find A3 if A = 3 2 a - 2 - 3"Exercise Q1 1:- Graph following numbers on complex plane. . i- 2+31 ( 1 , 3) 1i_ 2 - 32 1 1, 3). sii_. -2+32,1-2,3) iv - 6 ( - 6 , 0 ) v . i' ( 0 , 1 ) . vi. 3 4 ; D # 2: Find multiplicative inverses of following (0:6 , - 0.0) no.s . i- -3i ii 1-2i hi- - 3-Si Q # 3:- Simplify. i- 2101 ii - (-ai ) iii_ 2 3 ing -2-10. Q4 4:- Simplify and express in the formatib. 2+ 3 i 1+ 2 iii_ 9-7i 4 - i ' 3+ 2 IV. 3 V- 2 5 -52 5 5 +1 -8 Q # 5:- 94 2= 2+ 31 and W= J-yi , show that i_ z +W = 2 + w i_ z-W = Z-W. ini_ ZW = ZW iv _ Z W V- + ( 2+ 2 ) is real part of z . vi_ 1 ( 2-E ) is imaginary part of z . Duck:- Simplify. Scanned with CamScanner