English

If a = 1 1 2 2 , B = 1 2 3 4 Then Find |Ab|. - Mathematics and Statistics

Advertisements
Advertisements

Question

If A = `[(1,1),(2,2)] , "B" = [(1,2),(3,4)]` then find |AB|.

Sum

Solution

AB = `[(1,1),(2,2)][(1,2),(3,4)]`

AB = `[(4,6),(8,12)]`

∴ `|"AB"| = |(4,6),(8,12)|`

∴ |AB| = 48 - 48

⇒ |AB| = 0

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

APPEARS IN

RELATED QUESTIONS

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.


State, whether the following statement is true or false. If false, give a reason.

The matrices A2 × 3 and B2 × 3 are conformable for subtraction.


Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.


Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`


If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C


Find x and y from the given equations:

`[(-8, x)] + [(y, -2)] = [(-3, 2)]`


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


Classify the following matrix :

`[(7, 0)]`


If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.


Evaluate the following :

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


If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|`  find the value of  P(Q + R)


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


Solve the following minimal assignment problem : 

Machines                                 Jobs
I II III
M1 1 4 5
M2 4 2 7
M3 7 8 3

If A = `[(7,1), (2,5)]` and B = `[(1,2), (3,-1)]` then verify that |AB| = |A|  |B|.


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


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

If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.


If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×