MATH 240: Exam 3 Questions and
Answers 100% Pass
Transpose - ✔✔Write the rows as columns.
Inverse - ✔✔Reduce [A I]. If A is equivalent to I, then that matrix is now [I inv(A)].
Otherwise, A isn't invertable.
Determinant - ✔✔- 2x2: ad-cb
- Triangular: multiply the items in the diagonal.
- Otherwise
Null Space - ✔✔Nul(A) = x where Ax = 0.
Column Space - ✔✔Reduce A and break it down into its vectors.
Basis - ✔✔B is a basis if...
- B is linearly independent.
- B spans V.
Coordinate Vector - ✔✔Vector from Scalars
100% Pass Guarantee Katelyn Whitman All Rights Reserved © 2025 1
Answers 100% Pass
Transpose - ✔✔Write the rows as columns.
Inverse - ✔✔Reduce [A I]. If A is equivalent to I, then that matrix is now [I inv(A)].
Otherwise, A isn't invertable.
Determinant - ✔✔- 2x2: ad-cb
- Triangular: multiply the items in the diagonal.
- Otherwise
Null Space - ✔✔Nul(A) = x where Ax = 0.
Column Space - ✔✔Reduce A and break it down into its vectors.
Basis - ✔✔B is a basis if...
- B is linearly independent.
- B spans V.
Coordinate Vector - ✔✔Vector from Scalars
100% Pass Guarantee Katelyn Whitman All Rights Reserved © 2025 1
