Problem 546. Is A the inverse of B?

Created by Bruce Raine

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Given a matrix A and a matrix B, is A the inverse of B?
>>A=[2,4;3,5];
>>B=[-2.5,2;1.5,-1];
>>isInverse(A,B)
ans = 1

Solve

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Last Solution submitted on Oct 23, 2025

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Kuifeng on 27 Apr 2012

Need to improve the test suites.

Richard Zapor on 20 May 2012

Test of [1 1;1 1] for x and y would break current best solution

Vishal on 16 Sep 2014

Test suite not proper

arsenic 陈 on 14 May 2021

just y=1 can pass

Dyuman Joshi on 14 May 2021

Test suite has been improved

Dustin Lindner Daii on 4 Aug 2021

Inputs should be changed to be A and B instead of x and y

Tanuj Monu on 18 Dec 2021

i think there id some error in test case 1,2

Andy Chen on 15 Feb 2022

Bit tricky

Abby on 12 Jul 2022

If you are having issues with this and your solution seems correct, it is likely a computer precision issue.

Andrew Cheyne on 18 May 2023

make sure to round the inverse of B, it's the reason 1&2 test cases are incorrect.

SAYALI MORE on 15 Oct 2023

i tried all the things but I am not able to solve this question can anybody help me with this question

Christian Schröder on 15 Oct 2023

@Sayali Recall that if A is the inverse B, then AB = BA = I, where I is an identity matrix of appropriate dimensions. Also, brush up on your basic MATLAB, e.g. syntax and built-in functions. Good luck!

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Problem 546. Is A the inverse of B?

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Problem 546. Is A the inverse of B?

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