If a2-a+i 0 then the inverse of a is
Web21 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 +
If a2-a+i 0 then the inverse of a is
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WebDeterminant & 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 … 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 = …
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. Web(a) Show that if a square matrix A satisfies the equation A2 + 2A + I = 0, then A must be invertible. What is the inverse? Solutions Verified Solution A Solution B Answered 5 months ago Create an account to view solutions Recommended textbook solutions Linear Algebra with Applications 5th Edition • ISBN: 9780321796974 (3 more) Otto Bretscher
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 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
WebFind step-by-step Linear algebra solutions and your answer to the following textbook question: Show that if A is a square matrix such that Ak = 0 for some positive integer k, then the matrix I - A is invertible and (I - A)-1 = I + A + A2 + . . . + Ak-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 … phonics manifestingWebIf 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 … how do you uninstall on macWeb16 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. how do you uninstall microsoft edgeWebIf A=[ 3−112], show that A 2−5A+7I=0. Hence, find A −1. Medium Solution Verified by Toppr We have, [ 3−112] ∴A 2=AA= [ 3−112][ 3−112]=[ 8−553] So, A 2−5A+7I= [ 8−553]−5[ … phonics manilaWeb1. AB = BA 2. AB is a scalar matrix 3. AB can be a null matrix Select the correct answer using the code given below: Q7. If A = [ 2 sin θ cos θ 0 − 2 cos θ sin θ 0 − 1 1 1], then what is A (adj A) equal to? (where) I is the identity matrix. Q8. If A2 - 2A - … phonics man wake up songWebIf A2 – A + I = 0, then the inverse of A is from Mathematics Matrices Advertisement Matrices Multiple Choice Questions 1. If A and B are square matrices of size n × n such … how do you uninstall opera gxWebIf 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 … how do you uninstall microsoft office