Advertisements
Advertisements
प्रश्न
Find the value of x, given that A2 = B,
A = `[(2, 12),(0, 1)]` and B = `[(4, x),(0, 1)]`
उत्तर
A = `[(2, 12),(0, 1)]`
A2 = `[(2, 12),(0, 1)][(2, 12),(0, 1)]`
= `[(4 + 0, 24 + 12),(0 + 0,0 + 1)]`
= `[(4, 36),(0, 1)]`
Given, A2 = B
∴ `[(4, 36),(0, 1)] = [(4, x),(0, 1)]`
Comparing the corresponding elements, we get,
x = 36
APPEARS IN
संबंधित प्रश्न
Given matrix B = `[(1, 1),(8, 3)]`. Find the matrix X if, X = B2 – 4B. Hence, solve for a and b given `X[(a),(b)] = [(5),(50)]`.
If A = `[(4, 2),(1,1)]`, find (A – 2I)(A – 3I).
Find the positive integers p and q such that :
`[p q][p/q]= [25]`
If M = `|(8,3),(9,7),(4,3)|` and N = `|(4,7),(5,3),(10 , 1)|` find M+N
Given that A = `[(3, 0),(0, 4)]` and B = `[(a, b),(0, c)]` and that AB = A + B, find the values of a, b and c.
If A = `[(3 , 1),(-1 , 2)]` and I = `[(1 , 0),(0, 1)]`
find A2 - 5A + 7 I.
Let A = `[(1 , 0),(2 , 1)]`, B = `[(2 , 3),(-1 , 0)]`. Find A2 + AB + B2
If `"A" = [(a , b),(c , d)] and "I" = [(1 , 0),(0 , 1)]` show that A2 - (a + d) A = (bc - ad) I.
Choose the correct answer from the given four options :
If `[(x + 2y, 3y),(4x, 2)] = [(0, -3),(8, 2)]` then the value of x – y is
If A = `[(sec60°, cos90°),(-3tan45°, sin90°)] and "B" = [(0, cos45°),(-2, 3sin90°)]` Find : BA
