Math+2J+Practice+Midterm

# Math+2J+Practice+Midterm - Math 2J Practice Midterm The...

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Math 2J Practice Midterm The following is a practice test that is meant to give you a sense of what some possible midterm questions might look like. This test is meant only to measure how prepared you are and what you still need to study; it is NOT a good indicator of how well you will do on the actual midterm. True or False 1. ( AB ) - 1 = A - 1 B - 1 2. If I add three times the ﬁrst row of a matrix to the second row of that matrix, I have changed the determinant by 3. 3. If A is a singular matrix, then Ax = 0 has inﬁnitely many solutions. 4. If AB = AC and A 6 = O (the zero matrix), then B = C . 5. λ = 0 is always an eigenvalue of a singular matrix. 6. If A is an n × n matrix, then det( A k ) = det( A ) k . 7. If A is an n × n matrix, and α is a real number, then det( αA ) = α det( A ). 8. Nonsingular matrices are always row equivalent to an identity matrix. 9. Similar matrices have the same eigenvalues. 10. Overdetermined systems will always have no solution.

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Math+2J+Practice+Midterm - Math 2J Practice Midterm The...

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