If a2-a+i 0 then the inverse of a is
WebIf A2 − A+ I = 0, then the inverse of A is 1318 58 Matrices Report Error A I − A B A−I C A D A+I Solution: If A is any square matrix, then AA1 = I and A1I = A−1 Since, A2 −A+1 = 0 ⇒ A−1A2 −A−1A+A1I = O ⇒ I A−I + A−1 = 0 ⇒ A−I + A−1 = 0 ⇒ A−1 = I − A Web4 apr. 2024 · asked Apr 4, 2024 in Mathematics by paayal (148k points) If A 2 – A + I = 0, then the inverse of A is. (a) A. (b) A + I. (c) I – A. (d) A – I. matrices and determinants. jee.
If a2-a+i 0 then the inverse of a is
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WebIf A 2−A+I=0, then inverse of A is A A −2 B A+I C I−A D A−I Medium Solution Verified by Toppr Correct option is C) A 2−A+I=0 Multiplying =A −1(0) A −1(A 2−A=I)=A −1(0) A−I+A −1=0 A −1=−(A−I) A −1=I−A. Solve any question of Determinants with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions Web6 apr. 2024 · We will simplify the equation by multiplying. A − 1. on both sides of the equation as below: ⇒ A − 1 ( A 2 − A + I) = ( 0). A − 1. By opening the brackets on the …
WebIf A is nilpotent, then its only eigenvalue is 0, so I + A is invertible. Is there a closed-form solution? I believe not. Basically, a closed-form expression of ( I + A) − 1 using A and A − … WebAIEEE 2005: If A2-A+I=0 , then the inverse of A is (A) I - A (B) A - I (C) A (D) A + I. Check Answer and Solution for above question from Mathematics
Web22 mrt. 2024 · Show that the angle between the circles x2+y2=a2,x2+y2=ax+ay is 43π . 5. If circles x2+y2−5x−14y−34=0,x2+y2+2x+4y+k=0 are orthogonal, then find k. STION NO:4 Solution For 4. ... Show that f is invertible with the inverse f ... Web16 sep. 2024 · To do so, use the method demonstrated in Example 2.6.1. Check that the products and both equal the identity matrix. Through this method, you can always be sure that you have calculated properly! One way in which the inverse of a matrix is useful is to find the solution of a system of linear equations.
Web29 mei 2024 · If A2 – A + I = 0, then the inverse of A is... See answers Advertisement Brainly User Step-by-step explanation: A2 – A + I = 0. I = A – (A × A). IA-1 = AA-1 – A …
WebIf A2- A +I=0, then the inverse of A is (A) I-A (B) A-I (C) A (D) A+I. Check Answer and Solution for above question from Mathematics in Matrices - Tardigrade Tardigrade cxk youth employability serviceWebIf A 2−A+I=0, the inverse of A is A A - I B I - A C A + I D A Easy Solution Verified by Toppr Correct option is B) A 2−A+I=0 A−A 2=I or A(I−A)=I ∴ A −1=I−A Solve any question of … cxk trainingWeb21 dec. 2024 · Concept: Let A be the square matrix. A-1A = I and A-1I = A-1 Calculations: Given, a matrix A is such that 3A3 + 2A2 + cxl25s02aWebIf A 2−A+I=0, the inverse of A is A A - I B I - A C A + I D A Easy Solution Verified by Toppr Correct option is B) A 2−A+I=0 A−A 2=I or A(I−A)=I ∴ A −1=I−A Solve any question of Determinants with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions If A 2−A+I=0, then find the inverse of A. Medium View solution > cheap hotel room cedar rapidsWebIf for the non-singular matrix A,A2 = I, then find A−1 . 3870 82 Determinants Report Error A A B I C O D None 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) cxl 70-3lw/sWebIf A2 − A+ I = 0 , then the inverse of A is 2933 23 Determinants Report Error A A + I B A C A - I D I - A Solution: Given A2 − A+ I = 0 A−1A2 − A−1A+A−1.I = A−1.0 (Multiplying A−1 … cxk youtubersWeb4 okt. 2008 · (8) If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number (a) 601 (b) 600 cxl301 sewing machine