English

State whether the following is True or False : Singleton matrix is only row matrix. - Mathematics and Statistics

Advertisements
Advertisements

Question

State whether the following is True or False :

Singleton matrix is only row matrix.

Options

  • True

  • False

MCQ
True or False

Solution

Singleton matrix is also column matrix False.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 83]

APPEARS IN

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the inverse of matrix A by using adjoint method; where A = `[(1, 0, 1), (0, 2, 3), (1, 2, 1)]`


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


If A = `[(1, 3), (3, 1)]`, Show that A2 - 2A is a scalar matrix.


Find the adjoint of the following matrix.

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


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


State whether the following is True or False :

A = `[(2, 1),(10, 5)]` is invertible matrix.


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

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


The solution (x, y, z) of the equation `[(1, 0, 1),(-1, 1, 0),(0, -1, 1)] [(x),(y),(z)] = [(1),(1),(2)]` is (x, y, z) =


`cos theta [(cos theta, sin theta),(-sin theta, cos  theta)] + sin theta [(sin theta, - cos theta),(cos theta, sin theta)]` = ______


If A = `[(1, 2, 3),(1, 1, 5),(2, 4, 7)]`, then find the value of a31A31 + a32A32 + a33A33.


If A = `[(2, 2),(-3, 2)]` and B = `[(0, -1),(1, 0)]`, then find the matrix (B−1 A−1)−1.


If A(α) = `[(cos alpha, sin alpha),(-sin alpha, cos alpha)]` then prove that A2(α) = A(2α)


If A = `[(1, 2),(3, -2),(-1, 0)]` and B = `[(1, 3, 2),(4, -1, 3)]` then find the order of AB


If A = `[(-4, -3, -3),(1, 0, 1),(4, 4, 3)]`, find adj (A).


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


If A = `[(1,3,3),(1,4,3),(1,3,4)]` then verify that A(adj A) = |A| I and also find A-1.


If A = `[(3,7),(2,5)]` and B = `[(6,8),(7,9)]`, then verify that (AB)-1 = B-1A-1


If X = `[(8,-1,-3),(-5,1,2),(10,-1,-4)]` and Y = `[(2,1,-1),(0,2,1),(5,p,q)]`  then, find p, q if Y = X-1


The inverse matrix of `((4/5,(-5)/12),((-2)/5,1/2))` is


If A = `|(1,1,1),(3,4,7),(1,-1,1)|` verify that A(adj A) = (adj A)(A) = |A|I3.


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


If A is non-singular matrix such that (A - 2l)(A - 4l) = 0 then A + 8A-1 = ______.


If A = `[(3, -3, 4), (2, -3, 4), (0, -1, 1)]` then A-1 = ______


If A is non-singular matrix and (A + l)(A - l) = 0 then A + A-1 = ______.


If ω is a complex cube root of unity and A = `[(ω,0,0),(0,ω^2,0),(0,0,1)]` then A-1 = ?


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


If A = `[(5, -4), (7, -5)]`, then 3A-1 =  ______ 


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


Find the inverse of the matrix A by using adjoint method.

where A = `[(-3, -1, 1),(0, 0, 1),(-15, 6, -6)]`


If matrix P = `[(0, -tan (θ//2)),(tanθ//2, 0)]`, then find (I – P) `[(cosθ, -sinθ),(sinθ, cosθ)]`


The inverse of the matrix `[(1, 0, 0),(3, 3, 0),(5, 2, -1)]` is ______.


If the inverse of the matrix `[(α, 14, -1),(2, 3, 1),(6, 2, 3)]` does not exist, then the value of α is ______.


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


If A and B are two square matrices such that A2B = BA and (AB)10 = AkB10. Then, k is ______.


Find the inverse of the matrix `[(1, 1, 1),(1, 2, 3),(3, 2, 2)]` by elementary column transformation.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×