Match the columns-Column - IColumn - IIP If A-aij-3- 3 and aij-i2-j2- then A is p Singular but not skew symmetricQ A-aij-3- 3 and aij-3i-j- then A is q Skew-SymmetricR A-aij-3- 3 and aij-i2-j2- then A isr SymmetricS A- - -2 -2 -4 -1 3 4 -1 -2 -3- -s An idempodent matrix which is singular

Basic properties of Symmetric amp; Skew symmetric matrices ...

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Singular and Non Singular Matrices

Match the col...

Question

Match the columns.

Column - I Column - II

(P) If $A = [a_{i j}]_{3 \times 3} and a_{i j} = i^{2} + j^{2},$ then A is (p) Singular but not skew symmetric

(Q) $A = [a_{i j}]_{3 \times 3} and a_{i j} = 3^{i - j},$ then A is (q) Skew-Symmetric

(R) $A = [a_{i j}]_{3 \times 3} and a_{i j} = i^{2} - j^{2},$ then A is (r) Symmetric

(S) $A = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 2 & - 4 - 1 & 3 & 4 1 & - 2 & - 3 \end{matrix} ⎤ ⎥ ⎦$ (s) An idempodent matrix which is singular

P Q R S
3 4 2 1

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P Q R S
3 1 2 4

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P Q R S
3 1 4 2

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P Q R S
3 4 2 4

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A = [a_{i j}]_{3 \times 3}

a_{i j} = i^{2} - j^{2}

A

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

a_{i j} = i^{2} - j^{2}

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

a_{i j} = i^{2} - j^{2}

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

a_{i j} = I^{2} - j^{2}

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Column - I	Column - II
(P) If $A = [a_{i j}]_{3 \times 3} and a_{i j} = i^{2} + j^{2},$ then A is	(p) Singular but not skew symmetric
(Q) $A = [a_{i j}]_{3 \times 3} and a_{i j} = 3^{i - j},$ then A is	(q) Skew-Symmetric
(R) $A = [a_{i j}]_{3 \times 3} and a_{i j} = i^{2} - j^{2},$ then A is	(r) Symmetric
(S) $A = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 2 & - 4 - 1 & 3 & 4 1 & - 2 & - 3 \end{matrix} ⎤ ⎥ ⎦$	(s) An idempodent matrix which is singular