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If A is a singular matrix, then A adj (A)
- a)is an identity matrix
- b)is a zero scalar
- c)is a scalar matrix
- d)is an orthogonal matrix
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If A is a singular matrix, then A adj (A)a)is an identity matrixb)is a...
If A=0 (null and singular), then adj(A)=0 and hence adj(A) is singular too.
If A≠0 (nonnull and singular), then A contains a nonnull row, say the ith row a′i. It follows that
a′iadj(A)=0
which implies that the rows of adj(A) are linearly dependent, and hence adj(A) is singular.
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If A is a singular matrix, then A adj (A)a)is an identity matrixb)is a...
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If A is a singular matrix, then A adj (A)a)is an identity matrixb)is a...
Show that if A is singular , then adjA is also singular . I had been going to use the fact that if a matrix is singular, its determinant is 0, and the theorem that says that det(adj A) = [det(A)]^(n-1), but then realized that the theorem was only true if A was nonsingular
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If A is a singular matrix, then A adj (A)a)is an identity matrixb)is a zero scalarc)is a scalar matrixd)is an orthogonal matrixCorrect answer is option 'B'. Can you explain this answer?
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If A is a singular matrix, then A adj (A)a)is an identity matrixb)is a zero scalarc)is a scalar matrixd)is an orthogonal matrixCorrect answer is option 'B'. 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 singular matrix, then A adj (A)a)is an identity matrixb)is a zero scalarc)is a scalar matrixd)is an orthogonal matrixCorrect answer is option 'B'. 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 singular matrix, then A adj (A)a)is an identity matrixb)is a zero scalarc)is a scalar matrixd)is an orthogonal matrixCorrect answer is option 'B'. Can you explain this answer?.
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