Home
Class 12
MATHS
If A=[(1,0,0),(0,-1,0),(0,0,2)] and B=[...

If `A=[(1,0,0),(0,-1,0),(0,0,2)]` and `B=[(2,0,0),(0, 3,0),(0,0,-1)]` , find `A+B` , `3A+4B` .

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

if A=[{:(3,-1,2),(0,5,-3),(1,-2,7):}]and B=[{:(1,0,0),(0,1,0),(0,0,1):}], find whether AB=BA or Not .

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

Knowledge Check

  • If A= [(0,1),(1,0)] and B= [(0,-x),(x,0)] , then

    A
    AB=BA
    B
    `AB + BA= 1`
    C
    `AB+BA= 0`
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    If adj [(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)] , then find a ,b

    If A=[(n,0 ,0),( 0,n,0),( 0, 0,n)] and B=[(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)] , then A B is equal to (A) B (B) n B (C) B^n (D) A+B

    If A=|{:(1,0,0),(0,1,0),(0,0,1):}|" and A"=[{:(0,-3,4),(1,2,3),(0,5,5):}]," then find "(I-A)^(-1)

    If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is

    Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

    Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

    If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to