Matrices

Question 1

What is the minor of an element of a 3x3 matrix?

Answer 1

The determinant of the 2x2 matrix that remains after the row and column containing the element is crossed

Question 2

What does the determinant of a 3x3 matrix signify?

Answer 2

The volume SF

Question 3

What is the formula for the determinant of 3x3 matrix?

Answer 3

a(Minor of a) - b(Minor of b) + c(Minor of c)
This rule can be followed for any row

Question 4

What are the steps for finding the inverse of a 3x3 matrix?

Answer 4

Evaluate the determinant of the matrix
Replace each entry with the determinant of the matrix of minors
Change signs for diamond shape
Transpose rows and columns
Multiply by 1/det(A)