मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Choose the correct answer from the given alternatives in the following question: If A = [1234] , adj A = ab[4a-3b], then the values of a and b are - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

If A = `[(1,2),(3,4)]` , adj A = `[(4,"a"),(-3,"b")]`, then the values of a and b are

पर्याय

  • a = - 2, b = 1

  • a = 2, b = 4

  • a = 2, b = - 1

  • a = 1, b = - 2

MCQ

उत्तर

a = - 2, b = 1

shaalaa.com
Elementry Transformations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Matrics - Miscellaneous exercise 2 (B) [पृष्ठ ६१]

APPEARS IN

संबंधित प्रश्‍न

Apply the given elementary transformation of the following matrix.

B = `[(1, -1, 3),(2, 5, 4)]`, R1→ R1 – R2


Apply the given elementary transformation of the following matrix.

A = `[(5,4),(1,3)]`, C1↔ C2; B = `[(3,1),(4,5)]` R1↔ R2.
What do you observe?


Apply the given elementary transformation of the following matrix.

A = `[(1,2,-1),(0,1,3)]`, 2C2

B = `[(1,0,2),(2,4,5)]`, −3R1

Find the addition of the two new matrices.


Apply the given elementary transformation of the following matrix.

A = `[(1,-1,3),(2,1,0),(3,3,1)]`, 3R3 and then C3 + 2C2

and A = `[(1,-1,3),(2,1,0),(3,3,1)]`, C3 + 2C2 and then 3R3
What do you conclude?


Apply the given elementary transformation of the following matrix.

Use suitable transformation on `[(1,2),(3,4)]` to convert it into an upper triangular matrix.


Apply the given elementary transformation of the following matrix.

Transform `[(1,-1,2),(2,1,3),(3,2,4)]` into an upper triangular matrix by suitable column transformations.


The total cost of 3 T.V. sets and 2 V.C.R.’s is ₹ 35,000. The shopkeeper wants a profit of ₹ 1000 per T.V. set and ₹ 500 per V.C.R. He sells 2 T.V. sets and 1 V.C.R. and gets the total revenue as ₹ 21,500. Find the cost price and the selling price of a T.V. set and a V.C.R.


If A = `((1,0,0),(2,1,0),(3,3,1))`, then reduce it to I3 by using column transformations.


Check whether the following matrix is invertible or not:

`[(1,0),(0,1)]`


Check whether the following matrix is invertible or not:

`((2,3),(10,15))`


Check whether the following matrix is invertible or not:

`[(cos theta, sin theta),(-sin theta, cos theta)]`


Check whether the following matrix is invertible or not:

`(("sec" theta , "tan" theta),("tan" theta,"sec" theta))`


Check whether the following matrix is invertible or not:

`((3,4,3),(1,1,0),(1,4,5))`


If A = `[(1,2),(3,4)]` and X is a 2 × 2 matrix such that AX = I, find X.


Find the inverse of A = `[("cos" theta, -"sin" theta, 0),("sin" theta, "cos" theta, 0),(0,0,1)]` by elementary row transformations.


Find the inverse of A = `[("cos" theta, -"sin" theta, 0),("sin" theta, "cos" theta, 0),(0,0,1)]` by elementary column transformations.


If A = `[(4,5),(2,1)]`, show that `"A"^-1 = 1/6("A" - 5"I")`.


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


If A = `[(1,1),(1,2)], "B" = [(4,1),(3,1)]` and C = `[(24,7),(31,9)]`, then find the matrix X such that AXB = C


Find A-1 by the adjoint method and by elementary transformations, if A = `[(1,2,3),(-1,1,2),(1,2,4)]`


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


Show with the usual notation that for any matrix A = `["a"_"ij"]_(3xx3)  "is"   "a"_11"A"_11 + "a"_12"A"_12 + "a"_13"A"_13 = |"A"|` 


If A = `[(1,0,1),(0,2,3),(1,2,1)]` and B = `[(1,2,3),(1,1,5),(2,4,7)]`, then find a matrix X such that XA = B.


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

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


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

The inverse of `[(0,1),(1,0)]` is


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

If A = `[(1,2),(2,1)]` and A(adj A) = k I, then the value of k is


The element of second row and third column in the inverse of `[(1, 2, 1),(2, 1, 0),(-1, 0, 1)]` is ______.


If A = `[(2, -1, 1),(-2, 3, -2),(-4, 4, -3)]` the find A2 


Find the matrix X such that AX = I where A = `[(6, 17),(1, 3)]`


Find A−1 using column transformations:

A = `[(5, 3),(3, -2)]`


Find A−1 using column transformations:

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


Find the matrix X such that `[(1, 2, 3),(2, 3, 2),(1, 2, 2)]` X = `[(2, 2, -5),(-2, -1, 4),(1, 0, -1)]`


Find the matrix X such that AX = B, where A = `[(2, 1),(-1, 3)]`, B = `[(12, -1),(1, 4)]`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×