हिंदी

If A = [-24-12] then find A2 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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

योग

उत्तर

A2 = `[(-2, 4),(-1, 2)][(-2, 4),(-1, 2)]`

= `[(4 - 4, -8 + 8),(2 - 2, -4 + 4)]`

= `[(0, 0),(0, 0)]`

shaalaa.com
Elementry Transformations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.2: Matrics - Very Short Answer

संबंधित प्रश्न

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


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.

Convert `[(1,-1),(2,3)]` into an identity matrix by suitable row transformations.


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:

`((1,1),(1,1))`


Check whether the following matrix is invertible or not:

`((1,2),(3,3))`


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:

`((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.


If A = `[(2,3),(1,2)]`, B = `[(1,0),(3,1)]`, find AB and (AB)-1 . Verify that (AB)-1 = B-1.A-1.


Find the matrix X such that AX = B, where A = `[(1,2),(-1,3)]` and B = `[(0,1),(2,4)]`


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.


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


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

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


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


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 inverse of A = `[(2, -3, 3),(2, 2, 3),(3, -2, 2)]` by using elementary row transformations.


If A = `[(3, -1),(4, 2)]`, B = `[(2),(-1)]`, find X such that AX = B.


If A = `[(cosθ, -sinθ, 0),(sinθ, cosθ, 0),(0, 0, 1)]`, find A–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×