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If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?
(Where I is unit matrix of order 2 and O is null matrix of order 2)
(Where I is unit matrix of order 2 and O is null matrix of order 2)
- a)A is non-singular
- b)A ≠ O
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If A is a square matrix such that A2 + A + 2I = O, then which of the f...
We have A (A + I) = – 2I
⇒ |A (A + I) | = | – 2I |
⇒ |A| |A+ I| = 4 ≠ 0
Thus , | A | ≠ 0
⇒ A is non singular
⇒ A is correct
⇒ |A (A + I) | = | – 2I |
⇒ |A| |A+ I| = 4 ≠ 0
Thus , | A | ≠ 0
⇒ A is non singular
⇒ A is correct
⇒ D is correct
Also A = 0 does not satisfy the given eqaution ⇒ A ≠ 0
(A2 – B2) + (A – B) = 0
(A – B)(A + B + I) = 0
⇒ A – B = 0 or A + B + I = 0
Also A = 0 does not satisfy the given eqaution ⇒ A ≠ 0
(A2 – B2) + (A – B) = 0
(A – B)(A + B + I) = 0
⇒ A – B = 0 or A + B + I = 0
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If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer?
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If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 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 such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer?.
If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 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 such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A is a square matrix such that A2 + A + 2I = O, then which of the following is INCORRECT?(Where I is unit matrix of order 2 and O is null matrix of order 2)a)A is non-singularb)A ≠ Oc)d)Correct answer is option 'D'. Can you explain this answer?.
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