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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: Which of the following is/are correct? - Mathematics

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Question

Choose the correct alternative:

Which of the following is/are correct?
(i) Adjoint of a symmetric matrix is also a symmetric matrix.
(ii) Adjoint of a diagonal matrix is also a diagonal matrix.
(iii) If A is a square matrix of order n and λ is a scalar, then adj(λA) = λn adj (A).
(iv) A(adj A) = (adj A)A = |A|I

Options

  • Only (i)

  • (ii) and (iii)

  • (iii) and (iv)

  • (i), (ii) and (iv)

MCQ

Solution

(i), (ii) and (iv)

shaalaa.com
Inverse of a Non-singular Square Matrix
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.8 [Page 50]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 20 | Page 50

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