Let A- aij p- p be a matrix such that aij-2- i- j then

The correct option is C rank (A)=1 Given, #160; #160; A= ( a_ij )_p× p #160;with all its elements 2 .Hence, all rows are identical.So, the ...

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Standard XII

Mathematics

Skew Symmetric Matrix

Let A= aij ...

Question

Let $A = {(a_{i j})}_{p \times p}$ be a matrix such that $a_{i j} = 2 \forall i, j$ then

rank

(A) = p

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rank

(A) = 1

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rank

(A) > 1

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None of these

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Solution

The correct option is C rank $(A) = 1$
Given, $A = {(a_{i j})}_{p \times p}$ with all its elements $2$ .
Hence, all rows are identical.
So, the rank of $A = 1$

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Similar questions

Q. Let

A = [a_{i j}], 1 \leq i, j \leq n w i t h n \geq 3 a n d a_{i j} = i . j

the rank of A is

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A = {[a_{i j}]}_{m \times n}

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a_{i j} = 1

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A = [a_{i j}]

be a square matrix of order

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such that

a_{i j} = {\begin{matrix} 0 i f i \neq j i i f i = j \end{matrix}

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such that

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is a matrix of rank r, then

Q. Let

P = [a_{i j}]

be a

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invertible matrix, where

a_{i j} \in {0, 1}

for

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and exactly four elements of

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Let A=(aij)p×p be a matrix such that aij=2∀i,j then

The correct option is C rank (A)=1Given, A=(aij)p×p with all its elements 2.Hence, all rows are identical.So, the rank of A=1

Let $A = {(a_{i j})}_{p \times p}$ be a matrix such that $a_{i j} = 2 \forall i, j$ then

The correct option is C rank $(A) = 1$
Given, $A = {(a_{i j})}_{p \times p}$ with all its elements $2$ .
Hence, all rows are identical.
So, the rank of $A = 1$