Name: Date: School: Facilitator: 5.08 Inverse of a Square Matrix Fill-in the blank for each of the following questions. 1. Which matrix below is the identity matrix? (A) (B) 0 1 1 1 (C) 1 0 1 0 1 0 0 1 (D) 0 0 1 1 2. Which of the following statements represents a true statement? (A) Multiplying by the identity matrix has no effect on the original matrix. (B) Multiplying by 1 is the same as multiplying a matrix by itself. (C) could represent a matrix. 1 2 3 (D) The determinant of a square matrix is the sum of all its elements. 3. True or False? If the denominator in the formula to find the inverse is equal to zero, then a matrix is considered singular. Explanation: 4. True or False? If you multiply two matrices and obtain the identity matrix, it can be assumed the matrices are inverses of one another. Explanation: Determine if the inverse of each matrix exists or does not exist. If it does exist, calculate the inverse. 5. 2 3 7 19 Answer: 6. [ FORMTEXT FORMTEXT FORMTEXT FORMTEXT Does the inverse exists (Yes or no)? 11 5 2 1 Answer: Does the inverse exists (Yes or no)? [ FORMTEXT FORMTEXT FORMTEXT FORMTEXT 7. 4 2 6 1 4 2 Answer: 8. [ FORMTEXT FORMTEXT FORMTEXT FORMTEXT FORMTEXT FORMTEXT Does the inverse exists (Yes or no)? [ FORMTEXT FORMTEXT FORMTEXT 12 7 9 11 Answer: FORMTEXT FORMTEXT Does the inverse exists (Yes or no)? 2 0 5 1 6 9 Answer: 10. FORMTEXT FORMTEXT 3 4 5 7 Answer: 9. [ Does the inverse exists (Yes or no)? [ FORMTEXT FORMTEXT FORMTEXT Does the inverse exists (Yes or no)? FORMTEXT FORMTEXT FORMTEXT FORMTEXT