Home
Class 12
MATHS
Compute the following: (i) [[a, b],[-b, ...

Compute the following:
(i) `[[a, b],[-b, a]]+[[a, b],[b ,a]]`
(ii) `[[a^2+b^2, b^2+c^2],[a^2+c^2,a^2+b^2]]+[[2ab,2b c],[-2a c,-2a b]]`
(iii) `[[-1 ,4,-6],[ 8 ,5, 16],[ 2, 8, 5]]+[[12 ,7, 6],[ 8, 0, 5],[ 3 ,2, 4]]`
(iv) `[[cos^2x,sin^2x],[sin^2x,cos^2x]]+[[sin^2x,cos^2x],[cos^2x,sin^2x]]`

Text Solution

Verified by Experts

`(i) [[a, b],[-b, a]]+[[a, b],[b ,a]]`
`=>[[a+a,b+b],[ −b+b, a+a]]=[[2a,2b],[0,2a]]`

`(ii)[[a^2+b^2, b^2+c^2],[a^2+c^2,a^2+b^2]]+[[2ab,2b c],[-2a c,-2a b]]`

`=>[[a ^ 2 +b ^ ...
Promotional Banner

Similar Questions

Explore conceptually related problems

compute the following : (i) [{:(a,b),(-b,a):}]+[{:(a,b),(b,a):}] (ii) [{:(a^(2)+b^(2),b^(2)+c^(2)),(a^(2)+c^(2),a^(2)+b^(2)):}]+[{:(2ab,2bc),(-2ac,-2ab):}] (iii)[{:(-1,4,-6),(8,5,16),(2,8,5):}]+[{:(12,7,6),(8,0,5),(3,2,4):}] (iv) [{:(cos^(2)x, sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:("sin"^(2),cos^(2)x),(cos^(2) x , sin^(2)x):}]

" if "A=[[cos^(2)x,sin^(2)x],[-sin^(2)x,-cos^(2)x]]" and "B=[[sin^(2)x,cos^(2)x],[-cos^(2)x,-sin^(2)x]]" then find "A+B"

int(sin x cos x)/(a^(2)sin^(2)x+b^(2)cos^(2)x)dx

int(a^(2)sin^(2)x+b^(2)cos^(2)x)/(a^(4)sin^(2)x+b^(4)cos^(2)x)dx

If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)dx=A sin 2x+B, then A =

If quad tan x=(2b)/(a-c),a!=c,y=a cos^(2)x+2b sin x*cos x+c sin^(2)x,z=a sin^(2)x-2b sin x*cos x+c cos^(2)x, then

cos(A+B)*cos(A-B)= (a) sin^2A-cos^2B (b) cos^2A-sin^2B (c) sin^2A-sin^2B (d) cos^2A-cos^2B

If a sin^(3)x+b cos^(3)x=sin x cos x and a sin x=b cos x then a^(2)+b^(2)=

integral of 1/(a sin^(^^)2x+b cos^(^^)2x+c)