Advertisements
Advertisements
प्रश्न
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: (A + B)(A – B)
उत्तर
Given
A = `[(3, 2),(0, 5)]`
and
B = `[(1, 0),(1, 2)]`
(A + B)(A – B)
= `{[(3, 2),(0, 5)] + [(1, 0),(1, 2)]} xx {[(3, 2),(0, 5)]- [(1, 0),(1, 2)]}`
= `[(3 + 1, 2 + 0),(0 + 1, 5 + 2)] xx [(3 - 1, 2 - 0),(0 - 1, 5 - 2)]`
= `[(4, 2),(1, 7)] xx [(2, 2),(-1, 3)]`
= `[(8 - 2, 8 + 6),(2 - 7, 2 + 21)]`
= `[(6, 14),(-5, 23)]`.
APPEARS IN
संबंधित प्रश्न
Solve for x and y:
`[(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]`
If A =` [(1,-2 ,1),(2,1,3)]and B=[(2,1),(3,2),(1,1)]`
would it be possible to form the product matrix BA? If so, compute BA; if not give a reason
why it is not possible.
If A = `[(2, 4),(3, 2)]` and B = `[(1, 3),(-2, 5)]`
find AB,
If A = `[(2, 4),(3, 2)]` and B = `[(1, 3),(-2, 5)]`
find BA.
Evaluate : `[(4sin30°, 2cos60°),(sin90°, 2cos0°)] [(4, 5),(5, 4)]`
If X = `[(4, 1),(-1, 2)]`,show that 6X – X² = 9I Where I is the unit matrix.
Find x and y if `[(2x, x),(y, 3y)][(3),(2)] = [(16),(9)]`
If `[(a, 1),(1, 0)] [(4, 3),(-3, 2)] = [(b, 11),(4, c)]` find a,b and c
Choose the correct answer from the given four options :
If A = `[(1, 0),(1, 1)]`, then A2 =
Choose the correct answer from the given four options :
If A = `[(2, -2),(-2, 2)]`, then A2 = pA, then the value of p is
