English

If a = 1 2 − 3 5 4 0 , B = 1 4 3 − 2 5 0 , Then Find 2a + 3b. - Mathematics and Statistics

Advertisements
Advertisements

Question

If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.

Sum

Solution

2A + 3B = `2[(1,2,-3),(5,4,0)] + 3[(1,4,3),(-2,5,0)]`

= `[(2,4,-6),(10,8,0)] + [(3,12,9),(-6,15,0)]`

⇒ ∴ 2A + 3B = `[(5,16,3),(4,23,0)]`

shaalaa.com
  Is there an error in this question or solution?
2013-2014 (March)

APPEARS IN

RELATED QUESTIONS

Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`


If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B


Wherever possible, write the following as a single matrix.

`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`


State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A . (B – C) = A . B – A . C


State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

(A – B)2 = A2 – 2A . B + B2


If M = `[(2,1),(1,-2)] `; find M2, M3 and M5.


Classify the following rnatrix : 

`|(2,1),(0 , 6),(8 , 7) |`


Classify the following matrix :

`[(7, 0)]`


Find the values of a, b, c and d, if `|("a + 3b", 3"c" + "d"),(2"a" - "b" , "c" - 2"d")| = |(5 , 8),(3 , 5)|`


Evaluate the following :

`|(1 , 1),(2 , 3)|  |(2 , 1),(1 , 4)|`


Evaluate the following :

`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)|  |(1 , -2),(3 , 4),(0 , 0)|`


If A = `|(3,-2),(-1 , 4)|` , B = `|(2"a"),(1)|` , C = `|(-4),(5)|` , D = `|(2),("b")|` and AB + 2C = 4D then find the values of a and b.


Find the inverse of the matrix `[ (1, 2, 3), (1, 1, 5), (2, 4, 7)]` by using the adjoint method.
                                                 `


Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.


Find the adjoint of the matrix `"A" = [(2,-3),(3,5)]`


`[(2, -1),(5, 1)]`


Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.

  1. State the order of matrix M
  2. Find the matrix M

Choose the correct answer from the given four options :

If A = [aij]2×2 where aij = i + j, then A is equal to


Construct a matrix A = [aij]3 × 2 whose element aij is given by

aij = `(("i" + "j")^3)/5`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×