Home
Class 12
MATHS
Compute the indicated products: (i) [(a...

Compute the indicated products:
(i) `[(a,b),(-b,a)][(a,-b),(b,a)]`
(ii) `[(1),(2),(3)][(2,3,4)]`
(iii) `[(1,-2),(2,3)][(1,2,3),(2,3,1)]`
(iv) `[(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)]`
(v) `[(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]`
(vi) `[(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]`

Text Solution

Verified by Experts

The correct Answer is:
`(i) [(a^(2)+b^(2),0),(0,a^(2)+b^(2))] (ii)[(2,3,4),(4,6,8),(6,9,12)] (iii)[(-3,-4,1),(8,13,9)]`
`(iv)[(14,0,42),(18,-1,56),(22,-2,70)] (v)[(1,2,3),(1,4,5),(-2,2,0)] (vi) [(14,-6),(4,5)]`
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6,7)] (ii) [(1,2,3),(0,1,0),(1,1,0)][(-1,1,0),(0,-1,1),(2,3,4)] ne [(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]

Evaluate the determinants (i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:} (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}

Find x, if [(x, -5, -1)][(1,0,2),(0,2,1),(2,0,3)][(x),(4),(1)]=O

Find the transpose of each of the following matrices: (i)[(5),((1)/(2)),(-1)] (ii) [(1,-1),(2,3)] (iii) [(-1,5,6),(sqrt(3),5,6),(2,3,-1)]

If A=[(1,2,3),(2,3,1)] and B=[(3,-1,3),(-1,0,2)] , then find 2A-B .

Given A=[(1,1,1),(2,4,1),(2,3,1)], B=[(2,3),(3,4)]. Find P such that BPA= [(1,0,1),(0,1,0)]

If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] prove that (AB)C=A(BC)

If A = [(4,-1),(0,3)], B = [(1,2),(-1,3)] and C = [(1, -2),(3,5)] verify that A(BC) = (AB)C .

If 2A+3B = [(2,-1,4),(3,2,5)] and A+2B=[(5,0,3),(1,6,2)] , then B =