MATH 013A: Adjoint of a Matrix

The adjoint of a matrix is found by _____

• taking the transpose of the cofactor matrix
• finding the inverse of the matrix
• calculating the determinant
• adding the identity matrix

• The minor M_{ij} is the sum of the elements in the i-th row and j-th column.
• The minor M_{ij} is the product of the elements in the i-th row and j-th column.
• The minor M_{ij} is the average of all elements in the matrix.
• The minor M_{ij} is the determinant of the matrix obtained by deleting the i-th row and j-th column.

• 10
• 5
• 3

• 1

When getting the adjoint of a matrix, do not forget to _______ the cofactor matrix

• subtract
• add
• transpose
• multiply

To find the inverse of the matrix, we need to divide the adjoint of the matrix by the _____

• identity
• adjoint
• transpose
• determinant

What method could we use to find the determinant of a 3x3 matrix?

• Use matrix inversion method
• Use the basket weave method

• Apply Gaussian elimination
• Calculate the trace of the matrix

The denominator here would be?

• 1

• 3

• 1/3

• -1