Home
Class 12
MATHS
Let M be a 3xx3 matrix satisfying M[[...

Let `M` be a `3xx3` matrix satisfying `M[[0], [1] ,[0]]=[[-1], [2], [3]]` , `M[[1],[-1], [0]]=[[1], [1],[-1]]`,and `M[[1], [1], [1]]=[[0] ,[0], [12]]` Then the sum of the diagonal entries of `M` is _________.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1 1]=[0 0 12] Then the sum of the diagonal entries of M is _________.

Let M be a 3xx3 matrix satisfying M[0 1 0]=[-1 2 3] ,M[1-1 0]=[1 1-1],a n dM[1 1 1]=[0 0 12] Then the sum of the diagonal entries of M is _________.

Knowledge Check

  • If [{:(1, 4),(-2, 3):}] + 2 M = 3 [{:(3, 2),(0, -3):}], then the matrix M is :

    A
    `[{:(4, 1),(1, -6):}]`
    B
    `[{:(8, 2),(2, 12):}]`
    C
    `[{:(4, 1),(1, 3):}]`
    D
    `[{:(8, 2),(2, -12):}]`

    • Similar Questions

    Explore conceptually related problems

    Find the matrix A satisfying the matrix equation [2 1 3 2]A[-3 2 5-3]=[1 0 0 1]

    Find the matrix A satisfying the matrix equation [(2, 1),( 3, 2)]A[(-3, 2),( 5,-3)]=[(1, 0 ),(0, 1)] .

    Find the rank of matrix.A= [[3,1,2,0],[1,0,-1,0],[2,1,3,0]]

    Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),(1,0,0),(0,1,0)] , then find A^(-1) .

    Find the rank of matrix A= [[1,2,-1,0],[0,1,3,1],[2,5,1,2]]

    How many 3xx3 matrices M with entries from {0,1,2} are there, for which the sum of the diagonal entries of M^T Mi s5? 126 (b) 198 (c) 162 (d) 135

    If A=[{:(,a,0),(,0,2):}], B=[{:(,0,-b),(,1,0):}], M=[{:(,1,-1),(,1,1):}] and BA=M^2 , find the values of a and b.

    Home
    Profile