Determine whether the statement is true or false, and circle the correct answer.

Question

Determine whether the statement is true or false, and circle the correct answer. Each question is worth If AB = 0, then either A = 0 or B = 0. T F If A and B are n times n, then det AB = det BA. T F If A and B are m times n, then both AB^T and A^T B are defined. T F Any system of n linear equations in n variables can be solved by Cramer's rule. T F If A is a 2 times 2 matrix, then det(5A) = 5 det A. T F If A is a 3 times 3 matrix with three pivot positions, there exist elementary matrices E_1, ..., E_p such that E_p ... E_1 A = I. T F If AB = I, then A is invertible. Y F If A is a 2 times 2 matrix with a zero determinant, then one column of A is a multiple of the other. T F If A is n times n and det A = 2, then det(A^3) = 6. T F If A and B are n times n, then (A - B) (A + B) = A^2 - B^2. T F

Explanation / Answer

1) True

2) True as it is square matrix

5) True as the matrix is a square matrix

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.