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4. Determinants
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Q53 of 58 Page 77

State True or False for the statements

, where a, b, c are in A.P.

True

Since a, b, c are in AP, 2b = a + c.



Performing the operation R1→ R1 + R3



Since 2b = a + c,



Here R1 and R2 are proportional to each other,


⇒ 0 = 0


Hence the above statement is true.


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State True or False for the statements

If A and B are matrices of order 3 and |A| = 5, |B| = 3, then |3AB| = 27 × 5 × 3 = 405.

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State True or False for the statements

If the value of a third order determinant is 12, then the value of the determinant formed by replacing each element by its co-factor will be 144.

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State True or False for the statements

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State True or False for the statements

The determinant is equal to zero.

Questions · 58
4. Determinants
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