Purchase Solution

Find the determinant and inverse of a matrix whose entries are all '1s' ( ones ) except for the diagonals which are '0s' ( zeros )

Not what you're looking for?

Ask Custom Question

(1) Let A = (see attachment), the nxn matrix with all entries equal to 1 expect diagonal entries, which are equal to 0. Find the determinant .

(2) For the above matrix A, find the inverse.

Please see attachment for complete questions.

Purchase this Solution

Solution Summary

The determinant and inverse of a matrix whose entries are all '1s' ( ones ) except for the diagonals which are '0s' ( zeros ) are found. The solution is detailed.

Solution Preview

See the attached file.

Expanding the matrix determinant by minors , I obtain for the nxn matrix D = (-1)^(n+1) x (n-1).
Try n =3 D =2 ...

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.