मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

If A = [12-3-1],B=[-1015], then AB = - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

If A = `[(1, 2),(-3, -1)], "B" = [(-1, 0),(1, 5)]`, then AB = 

पर्याय

  • `[(1, -10),(1, 20)]`

  • `[(1, 10),(-1, 20)]`

  • `[(1, 10),(2,- 5)]`

  • `[(1, 10),(-1, -20)]`

MCQ

उत्तर

If A = `[(1, 2),(-3, -1)], "B" = [(-1, 0),(1, 5)]`, then AB = `[(1, 10),(2,- 5)]`.

shaalaa.com

Notes

Option (C) has been modified.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Matrices
Miscellaneous Exercise 2 | Q 1.14 | पृष्ठ ८२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

 Find the inverse of the following matrix by elementary row transformations if it exists. `A=[[1,2,-2],[0,-2,1],[-1,3,0]]`


Find the inverse of the following matrix by the adjoint method.

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


Find the inverses of the following matrices by the adjoint method:

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


Find the inverse of the following matrix (if they exist):

`[(3,-10),(2,-7)]`


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


Choose the correct answer from the given alternatives in the following question:

The inverse of a symmetric matrix is


Find the inverse of  A = `[(1, 0, 1),(0, 2, 3),(1, 2, 1)]` by elementary column transformations.


Find the inverse `[(1, 2, 3 ),(1, 1, 5),(2, 4, 7)]` of the elementary row tranformation.


Find matrix X, if AX = B, where A = `[(1, 2, 3),(-1, 1, 2),(1, 2, 4)] "and B" = [(1),(2),(3)]`.


Choose the correct alternative.

If AX = B, where A = `[(-1, 2),(2, -1)], "B" = [(1),(1)]`, then X = _______


Choose the correct alternative.

If A2 + mA + nI = O and n ≠ 0, |A| ≠ 0, then A–1 = _______


Solve the following :

If A = `[(2, -3),(3, -2),(-1, 4)],"B" = [(-3, 4, 1),(2, -1, -3)]`, verify (3A – 5BT)T = 3AT – 5B.


Check whether the following matrices are invertible or not:

`[(1, 1),(1, 1)]`


Find inverse of the following matrices (if they exist) by elementary transformations :

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


If the inverse of the matrix `[(alpha, 14, -1),(2, 3, 1),(6, 2, 3)]` does not exists then find the value of α


If A is invertible matrix of order 3 and |A| = 5, then find |adj A|


If A = `[(6, 5),(5, 6)]` and B = `[(11, 0),(0, 11)]` then find A'B'


If A = [aij]2×2, where aij = i – j, then A = ______


A sales person Ravi has the following record of sales for the month of January, February and March 2009 for three products A, B and C. He has been paid a commission at fixed rate per unit but at varying rates for products A, B and C.

Months Sales in units Commission
A B C
January 9 10 2 800
February 15 5 4 900
March 6 10 3 850

Find the rate of commission payable on A, B and C per unit sold using matrix inversion method.


Weekly expenditure in an office for three weeks is given as follows. Assuming that the salary in all the three weeks of different categories of staff did not vary, calculate the salary for each type of staff, using the matrix inversion method.

Week Number of employees Total weekly salary
(in ₹)
A B C
1st week 4 2 3 4900
2nd week 3 3 2 4500
3rd week 4 3 4 5800

adj (AB) is equal to:


If A is an invertible matrix of order 2 then det (A-1) be equal


The cost of 2 Kg of Wheat and 1 Kg of Sugar is ₹ 70. The cost of 1 Kg of Wheat and 1 Kg of Rice is ₹ 70. The cost of 3 Kg of Wheat, 2 Kg of Sugar and 1 Kg of rice is ₹ 170. Find the cost of per kg each item using the matrix inversion method.


The matrix M = `[(0,1,2),(1,2,3),(3,1,1)]` and its inverse is N = [nij]. What is the element n23 of matrix N?


If A = `[(2,3),(1,2)]`, B = `[(1,0),(3,1)]`, then B-1A-1 = ?


If A = `[(4,5),(2,1)]` and A2 - 5A - 6l = 0, then A-1 = ?


If A = `[(x,1),(1,0)]` and A = A , then x = ______.


If A = `[(2, -3), (3, 5)]`, then |Adj A| is equal to ______ 


The inverse of `[(1,cos alpha),(- cos alpha, -1)]` is ______.


The matrix `[(lambda, 1, 0),(0, 3, 5),(0, -3, lambda)]` is invertible ______.


If A–1  = `[(3, -1, 1),(-15, 6, -5),(5, -2, 2)]`, then adj A = ______.


Choose the correct option:

If X, Y, Z are non zero real numbers, then the inverse of matrix A = `[(x, 0, 0),(0, y, 0),(0, 0, z)]`


If A, B are two square matries, such that AB = B, BA = A and n ∈ N then (A + B)n =


If A = `[(1, 1, 0),(2, 1, 5),(1, 2, 1)]`, then a11A21 + a12A22 + a13A23 is equal to ______.


If A = `[(2, 2),(-3, 2)]`, B = `[(0, -1),(1, 0)]`, then (B–1 A–1)–1 is equal to ______.


If matrix A = `[(1, -1),(2, 3)]`, then A2 – 4A + 5I is where I is a unit matix.


if `A = [(2,-1,1),(-1,2,-1),(1,-1,2)]` then find A−1 by the adjoint method.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×