Linear Algebra Examples

Set up the formula to find the characteristic equation .
Substitute the known values in the formula.
Subtract the eigenvalue times the identity matrix from the original matrix.
Tap for more steps...
Multiply by each element of the matrix.
Simplify each element of the matrix .
Tap for more steps...
Simplify element by multiplying to get .
Simplify element by multiplying to get .
Simplify element by multiplying to get .
Simplify element by multiplying to get .
Combine the similar matrices with each others.
Simplify each element of the matrix .
Tap for more steps...
Combine the same size matrices and by adding the corresponding elements of each.
Simplify element of the matrix.
Simplify element of the matrix.
The determinant of is .
Tap for more steps...
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Tap for more steps...
Simplify each term.
Tap for more steps...
Expand using the FOIL Method.
Tap for more steps...
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
Tap for more steps...
Simplify each term.
Tap for more steps...
Move .
Use the power rule to combine exponents.
Add and to get .
Simplify .
Tap for more steps...
Multiply by to get .
Multiply by to get .
Multiply by to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Multiply by to get .
Subtract from to get .
Enter YOUR Problem
Mathway requires javascript and a modern browser.
  [ x 2     1 2     π     x d x   ]