If a 2 − a + i o then a −1 is equal to
WebIf A is a square matrix such that A 2=I, then A −1 is equal to A I B O C A D I+A Medium Solution Verified by Toppr Correct option is C) A 2=I A.A=I Post multiplying by A −1 both … WebCorrect option is A) A is a square matrix such that A=A 2 Now, (I−A) 3+A=(I−A) 2(I−A)+A =(I 2−2AI+A 2)(I−A)+A =(I−2A+A)(I−A)+A (∴A 2=A,I 2=I) =(I−A)(I−A)+A =(I−A) 2+A =I 2−2AI+A 2+A =I−2A+A+A (A 2=A,I 2=I) (I−A) 3+A=I Hence, option A ic correct. Was this answer helpful? 0 0 Similar questions Let P be an m×m matrix such that P 2=P.
If a 2 − a + i o then a −1 is equal to
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WebNone of these Solution: Given, A2 = I Since, A is non-singular matrix ∴ ∣A∣ = 0,so,A−1 exists. Multiplying by A−1 on both sides, we get A−1 (A2) = A−1 (I) ⇒ (A−1A)A = A−1 ⇒ I A = A−1 (∵ A−1A = I) ∴ A−1 = A (∵ I A = A) Web23 mrt. 2024 · If a,b and c are positive real numbers then a−1 b×b−1 c×c−1 a is equal to (2015) (a) 2 (b) abc (c) abc (d) abc1 32. The value of (x. The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome ...
Web4 apr. 2024 · If A = [(a,x),(y,a)] > and if xy = 1, then det (AA^T) is equal to … (a) (a – 1)^2 (b) (a^2 + 1)^2 (c) a^2 – 1. asked Sep 26, 2024 in Matrices and Determinants by Anjali01 (48.1k points) matrices and determinants; class-11; 0 votes. 1 answer. Let P and Q be 3 × 3 matrices with P ≠ Q. asked Apr 20, 2024 in Mathematics by ... WebProve that if A^2 = A A2 = A, then either A A is singular or A = I A = I. Getting Started: You must show that either A A is singular or A A equals the identity matrix. (i) Begin your …
WebIf A^2 – A + I = 0, then the inverse of A is. Matrices Determinants If A 2 – A + I = 0, then the inverse of A is. A - I; A; I + A; I - A; Answer. A 2 – A + I = 0. I = A – (A × A) IA-1 = AA … WebWe want to prove, for n ≥ 1, P(n) : If S ⊂ Z has size 2n+1 −1, then there exists T ⊂ S of size 2n such that 2n σ T. Induction on n. Base case n = 1. Given 21+1 − 1 = 3 integers, say a,b,c, at least 2 of them must have the same parity, by …
Web13 apr. 2024 · Solution For terms is (2)8225 , then ∑k=1n k(n−k) is equal to : 9. In an increasing [Main July 26, 2024 (I)] fifth term is 25. The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor …
Web24 sep. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … bordine nursery rochester michiganWebGiven A 2 − A + I = 0 A − 1 A 2 − A − 1 A + A − 1. I = A − 1.0 (Multiplying A − 1 on both sides) ⇒ A − 1 + A − 1 = 0 or A − 1 = I − A. haut fondsWebGiven: Given: A 2 − A + I = O multiplying both sides by A − 1 ( A 2 − A + I) = A − 1 O............. [ multiplying both sides by A − 1] ⇒ ( A − 1 A 2) − ( A − 1 A) + A − 1 I = O............... [ ∵ A − 1 O = O] ⇒ A − I + A − 1 = O............... [ ∵ A − 1 I = A − 1] ⇒ A − 1 = I − A bordines artificial christmas treesWebHydroxide ion. The hydroxide ion is a natural part of water because of the self-ionization reaction in which its complement, hydronium, is passed hydrogen:. H 3 O + + OH − ⇌ 2H 2 O. The equilibrium constant for this reaction, defined as . K w = [H +][OH −]. has a value close to 10 −14 at 25 °C, so the concentration of hydroxide ions in pure water is close to … bordines christmas open houseWebIf a 2 − a + I = 0 , Then the Inverse of a is . CBSE Science (English Medium) Class 12. Question Papers 1913. Textbook Solutions 24547. MCQ Online Mock Tests 31. … hautformel cosmeticsWeb22 mrt. 2024 · If A is square matrix such that A 2 = A, then (I + A)³ – 7 A is equal to: (a) A (b) I + A (c) I − A (d) I This question is inspired from Misc. 15 (MCQ) - Chapter 3 Class 12 - Matrices This video is only available for Teachoo black users Subscribe Now Get live Maths 1-on-1 Classs - Class 6 to 12 Book 30 minute class for ₹ 499 ₹ 299 Transcript bordine nursery - rochester hillsWebIf A2 − A+ I = O, then the inverse of A is 1620 87 Matrices Report Error A I - A B A - I C A D A+I Solution: If A is any square matrix, then AA−1 = I and A−1I = A−1 Since A2 − A+I = O ⇒ A−1A2 −A−1A+ A−1I = O ⇒ (A−1A)A−(A−1A)+A−1 = O ⇒ I A−I + … bordine rochester michigan