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If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​
  • a)
    135
  • b)
    45
  • c)
    15
  • d)
    32
Correct answer is option 'A'. Can you explain this answer?
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If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​a)1...
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If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​a)1...
Solution:

Given, |A| = 5

We need to find the value of |3A|

We know that if A is a square matrix of order 3, then

|kA| = k³|A|, where k is any scalar

So, |3A| = (3)³|A| = 27|A|

Substituting the value of |A|, we get

|3A| = 27(5) = 135

Therefore, the correct option is (a) 135.

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Solution:


Given, |A| = 5


We need to find the value of |3A|


We know that if A is a square matrix of order 3, then


|kA| = k³|A|, where k is any scalar


So, |3A| = (3)³|A| = 27|A|


Substituting the value of |A|, we get


|3A| = 27(5) = 135


Therefore, the correct option is (a) 135.
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If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​a)135b)45c)15d)32Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​a)135b)45c)15d)32Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​a)135b)45c)15d)32Correct answer is option 'A'. Can you explain this answer?.
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