Solving Linear Equations

Question 1

How to solve Ax = b using inverse of the matrix?

Answer 1

x = inv(A) * b’

This is just for square matrices that are invertible.

Question 2

General and more efficient way to solve systems of linear equations in matlab?

Answer 2

If we have: Ax = b

We can solve it by using:

x = A\b

Question 3

How do we get the determinant of a matrix?

Answer 3

det (A)

Question 4

How do we get the eigenvalues and eigenvectors of a matrix?

Answer 4

Only Eigenvalues = eig(A)

Eigenvectors and diagonal matrix:

[V, D] = eig(A)

Question 5

How do we get the norm of a vector or matrix?

Answer 5

Using the norm command:

norm(x) or norm(A)