मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:What must be the matrix X, if X2X+[1234]=[3872]? - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
What must be the matrix X, if `2"X" + [(1, 2),(3, 4)] = [(3, 8),(7, 2)]`?

पर्याय

  • `[(1, 3),(2, -1)]`

  • `[(1, -3),(2, -1)]`

  • `[(2, 6),(4, -2)]`

  • `[(2, -6),(4, -2)]`

MCQ

उत्तर

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

shaalaa.com
Matrices
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Matrices and Determinants - Exercise 7.5 [पृष्ठ ४०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 7 Matrices and Determinants
Exercise 7.5 | Q 2 | पृष्ठ ४०

संबंधित प्रश्‍न

In the matrix A = `[(8, 9, 4, 3),(- 1, sqrt(7), sqrt(3)/2, 5),(1, 4, 3, 0),(6, 8, -11, 1)]`, write The order of the matrix


If a matrix has 18 elements, what are the possible orders it can have? What if it has 6 elements?


If A = `[(5, 2, 2),(-sqrt(17), 0.7, 5/2),(8, 3, 1)]` then verify (AT)T = A


If A = `[(1, 9),(3, 4),(8, -3)]`, B = `[(5, 7),(3, 3),(1, 0)]` then verify that A + B = B + A


If A = `[(4, 3, 1),(2, 3, -8),(1, 0, -4)]`, B = `[(2, 3, 4),(1, 9, 2),(-7, 1, -1)]` and C = `[(8, 3, 4),(1, -2, 3),(2, 4, -1)]` then verify that A + (B + C) = (A + B) + C


A has ‘a’ rows and ‘a + 3’ columns. B has ‘b’ rows and ‘17 − b’ columns, and if both products AB and BA exist, find a, b?


If A = `[(2, 5),(4, 3)]`, B = `[(1, -3),(2, 5)]` find AB, BA and verify AB = BA?


If the number of columns and rows are not equal in a matrix then it is said to be a


A = `[(3, 0),(4, 5)]`, B = `[(6, 3),(8, 5)]`, C = `[(3, 6),(1, 1)]` find the matrix D, such that CD – AB = 0


Determine the matrices A and B if they satisfy 2A – B + `[(6, - 6, 0),(- 4, 2, 1)]` = 0 and A – 2B = `[(3, 2, 8),(-2, 1, -7)]`


Give your own examples of matrices satisfying the following conditions:
A and B such that AB = 0 and BA ≠ 0


If A is a square matrix such that A2 = A, find the value of 7A – (I + A)3


Verify the property A(B + C) = AB + AC, when the matrices A, B, and C are given by A = `[(2, 0, -3),(1, 4, 5)]`, B = `[(3, 1),(-1, 0),(4, 2)]` and C = `[(4, 7),(2, 1),(1,-1)]`


If A and B are symmetric matrices of same order, prove that AB – BA is a skew-symmetric matrix


A shopkeeper in a Nuts and Spices shop makes gift packs of cashew nuts, raisins and almonds. Pack I contains 100 gm of cashew nuts, 100 gm of raisins and 50 gm of almonds. Pack-II contains 200 gm of cashew nuts, 100 gm of raisins and 100 gm of almonds. Pack-III contains 250 gm of cashew nuts, 250 gm of raisins and 150 gm of almonds. The cost of 50 gm of cashew nuts is ₹ 50, 50 gm of raisins is ₹ 10, and 50 gm of almonds is ₹ 60. What is the cost of each gift pack?


Choose the correct alternative:
If the points (x, – 2), (5, 2), (8, 8) are collinear, then x is equal to


Choose the correct alternative:
The matrix A satisfying the equation `[(1, 3),(0, 1)] "A" = [(1, 1),(0, -1)]` is


Let A = [aij] be a square matrix of order 3 such that aij = 2j – i, for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ... + A10 is equal to ______.


The number of matrices A = `[(a, b),(c, d)]`, where a, b, c, d ∈ {–1, 0, 1, 2, 3, ............, 10} such that A = A–1, is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×