English

Matrices of any order can be added. - Mathematics

Advertisements
Advertisements

Question

Matrices of any order can be added.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

The matrices having same order can only be added.

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Matrices - Exercise [Page 63]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Exercise | Q 83 | Page 63

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Compute the following:

`[(a,b),(-b, a)] + [(a,b),(b,a)]`


Compute the following:

`[(a^2+b^2, b^2+c^2),(a^2+c^2, a^2+b^2)] + [(2ab , 2bc),(-2ac, -2ab)]`


If F(x) = `[(cosx, -sinx,0), (sinx, cosx, 0),(0,0,1)]`  show that F(x)F(y) = F(x + y)


Compute the following sums:

`[[3   -2],[1           4]]+ [[-2         4 ],[1           3]]`


If A =`[[2,3],[5,7]],B =` `[[-1,0 ,2],[3,4,1]]`,`C= [[-1,2,3],[2,1,0]]`find : A + B and B + C


If A = diag (2 − 59), B = diag (11 − 4) and C = diag (−6 3 4), find

2A + 3B − 5C


Find matrices X and Y, if X + Y =`[[5     2],[0       9]]`

and X − Y =  `[[3       6],[0   -1]]`

 


Find matrices X and Y, if 2X − Y = `[[6       -6           0],[-4            2           1]]`and X + 2Y =`[[3              2                     5],[-2         1    -7 ]]`


X − Y =`[[1      1       1],[1        1          0],[1         0          0]]` and X + Y = `[[3        5         1],[-1       1           1],[11       8           0]]`find X and Y.


Find xy satisfying the matrix equations

`[[X-Y               2            -2],[4                        x                6]]+[[3        -2                2],[1         0            -1]]=[[                6                       0                             0],[         5                       2x+y                5]]`


Find xy satisfying the matrix equations

`[x     y + 2    z-3 ] +  [  y       4          5]=[4        9        12]`


Find xyz and t, if

`3[[x     y],[z      t]]=[[x        6],[-1          2t]]+[[4             x+y],[z+t         3]]`

 


Find xyz and t, if

`2[[x         5],[z         t]]+[[x           6],[-1          2t]]=[[7            14],[15        14]]`


If X and Y are 2 × 2 matrices, then solve the following matrix equations for X and Y.

`2X + 3Y = [[2,3],[4,0]], 3X+2Y = [[-2,2],[1,-5]]`


 

\[A = \begin{bmatrix}0 & 1 & 0 \\ 0 & 0 & 1 \\ p & q & r\end{bmatrix}\] ,and I is the identity matrix of order 3, show that A3 = pI + qA +rA2.

Express the matrix \[A = \begin{bmatrix}3 & - 4 \\ 1 & - 1\end{bmatrix}\]  as the sum of a symmetric and a skew-symmetric matrix.

 

 


If \[A = \begin{bmatrix}\cos x & \sin x \\ - \sin x & \cos x\end{bmatrix}\] , find x satisfying 0 < x < \[\frac{\pi}{2}\] when A + AT = I


If  \[x\binom{2}{3} + y\binom{ - 1}{1} = \binom{10}{5}\] , find the value of x.


If  \[\binom{x + y}{x - y} = \begin{bmatrix}2 & 1 \\ 4 & 3\end{bmatrix}\binom{1}{ - 2}\] , then write the value of (xy).

 

If possible, find the sum of the matrices A and B, where A = `[(sqrt(3), 1),(2, 3)]`, and B = `[(x, y, z),(a, "b", 6)]`


If A = `[(1, 0, -1),(2, 1, 3 ),(0, 1, 1)]`, then verify that A2 + A = A(A + I), where I is 3 × 3 unit matrix.


If A = `[(1, 2),(4, 1),(5, 6)]` B = `[(1, 2),(6, 4),(7, 3)]`, then verify that: (2A + B)′ = 2A′ + B′


Let A = `[(1, 2),(-1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, -2)]` and a = 4, b = –2. Show that: A + (B + C) = (A + B) + C


Let A = `[(1, 2),(-1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, -2)]` and a = 4, b = –2. Show that: (a + b)B = aB + bB


If A = `[(0, -x),(x, 0)]`, B = `[(0, 1),(1, 0)]` and x2 = –1, then show that (A + B)2 = A2 + B2


Matrix multiplication is ______ over addition.


Let A = `[(1, -1),(2, α)]` and B = `[(β, 1),(1, 0)]`, α, β ∈ R. Let α1 be the value of α which satisfies (A + B)2 = `A^2 + [(2, 2),(2, 2)]` and α2 be the value of α which satisfies (A + B)2 = B2 . Then |α1 – α2| is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×