Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. ...

Let `{:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}`. The only correct statement aboul the matrix A is

`A^(2) = I`

A is a zero matrix

`A^(-1)` does not exit

A = (-1) I, where I is a unit matrix.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise TRIGONOMETRIC FUNCTIONS |44 Videos
QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos
QUESTION BANK 2021
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATHEMATICAL LOGIC |32 Videos
PROBABILITY DISTRIBUTION
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos
THREE DIMENSIONAL GEOMETRY
NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about the matrix A is (A) A is a zero matrix (B) A^2=I (C) A^-1 does not exist (D) A=(-1)I where I is a unit matrix

Let : A={:[(0,0,1),(0,-1,0),(-1,0,0)]:}. Then the only correct sta

The matrix A={:[(0,1,-1),(-1,0,1),(1,-1,0):}] is a

The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

The matrix [(1,0,0),(0,2,0),(0,0,4)] is a

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] 1. The matrix A is skew-symmetric. 2. The matrix A is symmetric. 3. The matrix A is invertible. Which of the above statements is/are correct ?

Consider the following statements in respect of the matrix A=[{:(0,1,2),(-1,0,-3),(-2,3,0):}] I. The matrix A is skew symmetric II. The matrix A is symmetric III. The matrix A is invertible Which of the above statements is/are correct ?

If A= [(0,1,1),(0,0,1),(0,0,0)] is a matrix of order 3 then the value of the matrix (I+A)-2A^2(I-A), where I is a unity matrix is equal to (A) [(1,0,0),(1,1,0),(1,1,1)] (B) [(1,-1,-1),(0,1,-1),(0,0,1)] (C) [(1,1,-1),(0,1,1),(0,0,1)] (D) [(0,0,2),(0,0,0),(0,0,0)]

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES

If A=[[4, -1], [-1, k]] such that A^(2)-6A+7I=0 and k=
Text Solution
|
Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin t...
Text Solution
|
Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...
Text Solution
|
If A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)], then A^(10) = ....
Text Solution
|
The element of second row and third column in the inverse of [[1, 2, 1...
Text Solution
|
If A = [(4,5),(2,5)], then |(2A)^(-1)|=....
Text Solution
|
If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...
Text Solution
|
The value of x, y, z for the following system of equations x + y + z =...
Text Solution
|
If A = [(3,0,0),(0,3,0),(0,0,3)], then |A||adj A| =...
Text Solution
|
If the system of equations 6x + 2y = 3 and kx + y = 2 has a unique so...
Text Solution
|
Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...
Text Solution
|
Matrix A =[(1,2,3),(1,1,5),(2,4,7)] then the value of A(31) A(3...
Text Solution
|
For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...
Text Solution
|
IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...
Text Solution
|
Select and write the most appropriate answer from the given alternativ...
Text Solution
|
A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1).
Text Solution
|
If A = [(a,b),(c,d)] then find the value of |A|^(-1)
Text Solution
|
If A = [(3,1),(5,2)], and AB = BA = I, then find the matrix B.
Text Solution
|
If A(theta) = [(cos theta,sin theta),(-sin theta,cos theta)] then prov...
Text Solution
|
If A = [(1,2),(3,-2),(-1,0)]and B = [(1,3,2),(4,-1,3)] then find the o...
Text Solution
|