If A = b c d I then A is invertible if ad-bc0, in which case A-1 = If ad bc = 0, then A is not invertible. Find the inverse of the given matrix (if it exists) using the theorem above. (If this is not possible, enter DNE in any single blank. Enter sqrt(n) for √n.) 1 ad - bc -C 5/√2 5/√2 ↓ 1 d -b -5/√2 5/√2 |

Let A, B, C be n × n matrices and assume that A is invertible. Solve the equation A(B + X) = C for X.

Activity 3 Answer the following question using the drawing below in a separate sheet of paper M. 1. Name all the points. 2. Identify the line that is shown. 3. Name all the line segments in the drawing. 4. Identify all the rays that are shown.

Let A and B be n × n invertible matrices. Use matrix algebra to simplify A(A−1 + B−1)B.

Select all statements below which are true for all invertible n x n matrices A and B DA. AB = BA OB. (A + B)(A - B) = A² - B² Oc. (A+ A-¹)² = A²+ A-² OD. A³B2 is invertible OE. A + B is invertible OF. (In + A) (In + A-¹) = 2In + A+ A-¹