Web24 feb. 2024 · (a) If det A = ± 1, then A -1 need not exist (b) If det A = ± 1, then A -1 exists but all entries are not necessarily integers. (c) If det A ≠ ± 1, then A -1 exists and all its entries are non-integers (d) If det A = ± 1, then A -1 exists and all its entries are integers. Answer Question 18. Web31 jul. 2024 · Then A = product of eigen values = 2 × × 3 × × 4 = 24. We know that if λ1, λ2 λ 1, λ 2 & λ3 λ 3 are eigen values of A then A λ1, A λ2 A λ 1, A λ 2 & A λ3 A λ 3 are eigen values of adjoint of matrix A. Therefore, 24 2, 24 3, 24 4 24 2, 24 3, 24 4 are eigen values of adj. A. ⇒ 12, 8 & 6 are eigen values of adj. A.
Example 24 - Verify that A adj A = A I. Also find A-1 - teachoo
WebIf A = [{1 logx4 logx2} {log4x 2 log42} {log2x log24 3}] then the determinant value of Adj(Adj A^2) is. asked Jan 31 in Mathematics by SukanyaYadav (52.3k points) jee main 2024; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. WebFind the value of A d j (A d j A): Replace A by a d j A in (iii). we get. ... If A is a square matrix of order n, then adj (adj A ) is equal to. Q. If A is a square matrix of order n then adj (a d j A) is equal to. Q. evicted scripts
MCQ Questions for Class 12 Maths Chapter 4 Determinants with Answers
WebIf A = [ 1&-2 &2 0&2& -3 3&-2&4 ] ,then A . adj (A) is equal to Question Mathematics If A = [ 1&-2 &2 0&2& -3 3&-2&4 ] ,then A . adj (A) is equal to Q. If A = ⎣⎡1 0 3 −2 2 −2 2 −3 4 ⎦⎤ ,then A.adj (A) is equal to 3020 47 KCET KCET 2007 Determinants Report Error A ⎣⎡5 0 0 0 5 0 0 0 5⎦⎤ B ⎣⎡5 1 1 1 5 1 1 1 5⎦⎤ C ⎣⎡0 0 0 0 0 0 0 0 0⎦⎤ D Web30 mrt. 2024 · Transcript. Ex 4.5, 17 (Method 1) Let A be a nonsingular square matrix of order 3 × 3. Then adj A is equal to A. A B. A 2 C. A 3 D. 3 A We know that 𝑎𝑑𝑗 𝐴 = 𝐴 ^ (𝑛 − 1) where n is the order of Matrix A Here, n = 3 𝑎𝑑𝑗 𝐴 = 𝐴 ^ (3 − 1) = 𝐴 ^2 Hence, B is the correct answer Nonsingular: Where ... Web9 nov. 2024 · If A and B are two non-singular square matrices of the same order, the adjoint of AB is equal to (A) (adj A) (adj B) (B) (adj B) (adj A) asked in by (42.0k points) matrices determinant jee jee mains 0 votes 1 answer Let A be a square matrix of order 3 such that transpose of inverse of A is A itself. Then adj (adj A) is equal to brown v boe ruling