Advertisements
Advertisements
प्रश्न
If A = `[(2, a),(-3, 5)] and "B" = [(-2, 3),(7, b)], "C" = [(c, 9),(-1, -11)]` and 5A + 2B = C, find the values of a,b,c
उत्तर
A = `[(2, a),(-3, 5)] and "B" = [(-2, 3),(7, b)], "C" = [(c, 9),(-1, -11)]` and 5A + 2B = C
⇒ `5[(2, a),(-3, 5)] + 2[(-2, 3),(7, b)] = [(c, 9),(-1, -11)]`
⇒ `[(10, 5a),(-15, 25)] + [(-4, 6),(14, 2b)] = [(c, 9),(-1, -11)]`
⇒ `[(10 - 4, 5a + 6),(15 + 14, 25 + 2b)] = [(c, 9),(-1, -11)]`
⇒ `[(6, 5a + 6),(-1, 25 + 2b)] = [(c, 9),(-1, -11)]`
Comparing each term
5a + 6 = 9
⇒ 5a = 9 – 6 = 3
⇒ a = `(3)/(5)`
⇒ 25 + 2b = –11
⇒ 2b = –11 – 25 = –36
⇒ b = `-(36)/(2)` = –18
c = 6
Hence a = `(3)/(5)`, b = –18 and c = 6.
APPEARS IN
संबंधित प्रश्न
Given `A = [(1 4),(2 3)] and B = [(-4 -1),(-3 -2)]` Find the matrix C such that C + B = `[(0, 0),(0,0)]`
Evaluate if possible `[(6, 4),(3, -1)][(-1),(3)]`
Given `A = [(4, 1), (2,3)] and B = [(1, 0),(-2, 1)]` Find `A^2 - AB + 2B`
Find the matrix A, if `B = [(2, 1),(0, 1)]` and `B^2 = B + 1/2 A`.
If A = `[(2, x),(0, 1)]` and B = `[(4, 36),(0, 1)]`; find the value of x, given that A2 = B.
If `|(2"a" + "b" , "c"),("d" , 3"a" - "b")|` = `|(4 , 3"a"),(7 , 6)|` , find the values of a , b , c and d.
Find matrices X and Y, if
X + Y = `[(5, 2),(0, 9)]` and X - Y = `[(3 , 6),(0, -1)]`
Given that M = `[(2, 0),(1, 2)]` and N = `[(2, 0),(-1,2)]`, find M + 2N
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]` Find the values of x and y
If `[(5, 2),(-1, y + 1)] -2 [(1, 2x - 1),(3, -2)] = [(3, -8),(-7, 2)]` Find the values of x and y
