If a2-a+i 0 then the inverse of a is
Web4 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 WebIf A^2 - A + I = 0 , the inverse of A is. Class 12. >> Maths. >> Determinants. >> Inverse of a Matrix Using Adjoint. >> If A^2 - A + I = 0 , the inverse of A is. Question.
If a2-a+i 0 then the inverse of a is
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WebIf A2 − A+ I = 0 , then the inverse of A is 1404 35 AIEEE AIEEE 2005 Matrices Report Error A I − A B A−I C A D A+I Solution: Since A2 − A+I = O ∴ A−1A2 −A−1 A+I A−1 = O ⇒ A−I + A−1 = 0 ⇒ A−1 = I − A WebIf 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 …
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 …
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. WebIf 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 >
WebIf 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 …
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 ... things ecologists studyWebIf A2-A+I=O, then the inverse of the matrix A is Q. If A2 − A+ I = O, then the inverse of the matrix A is 2069 97 WBJEE WBJEE 2009 Matrices Report Error A A−I B I − A C A+I D A Solution: Given, A2 −A+I = O ⇒ A2 −A = −I ⇒ A2A−1 −AA−1 = −I … things edWebMany other number sets are built by successively extending the set of natural numbers: the integers, by including an additive identity 0 (if not yet in) and an additive inverse −n for each nonzero natural number n; the rational numbers, by including a multiplicative inverse / for each nonzero integer n (and also the product of these inverses by integers); the real … sai world empire kharghar reviewWebIf 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 sai whos whothings ectWebDeterminant & Matrices WA - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Question bank on Determinant & Matrices There are 102 questions in this question bank. Select the correct alternative : (Only one is correct) a 2 a 1 Q.1 The value of the determinant cos(nx) cos(n +1) x sin (nx) sin(n +1) x cos(n + 2)x sin (n + 2) x is … sai world city panvel reviewWebIf 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) sai world travels international