**Part 1**Rework problem 7 from section 6.1 of your text, involving matrices \( A \), \( B \), and \( C \). Use the following matrices instead of those listed in your text.\[ A = \begin{bmatrix} 7 & 4 & 7 \\ -4 & 7 & 4 \\ 5 & -5 & -1 \end{bmatrix} \quad B = \begin{bmatrix} -3 & 8 & 4 \\ -3 & -4 & -6 \end{bmatrix} \quad C = \begin{bmatrix} -1 & 5 & -8 \\ 6 & 5 & -8 \end{bmatrix} \](1) Indicate (i.e., check) the operations below which are defined.- □ A. \( C + A \)- □ B. \( AB \)- □ C. \( (B + C) A \)- □ D. \( CA \)- □ E. \( A + B \)- □ F. \( A(B + C) \)(Note: The textbook’s version of this problem was solved on *The Finite Show*. You can view the streaming video of this solution at TFS solution.) **Matrix Operations Defined**Suppose that we have 7 matrices:- \( A \) is a \( 2 \times 3 \) matrix- \( B \) is a \( 3 \times 2 \) matrix- \( C \) is a \( 2 \times 2 \) matrix- \( D \) is a \( 4 \times 3 \) matrix- \( E \) is a \( 2 \times 2 \) matrix- \( F \) is a \( 3 \times 1 \) matrix- \( G \) is a \( 2 \times 3 \) matrixWhich of the following matrix operations are defined?- A. \( AB + E \)- B. \( 4B \)- C. \( 3A + G \)- D. \( AC + BE \)- E. \( BE + GC \)- F. \( EBA \)- G. \( GE \)- H. \( AB \)- I. \( BA \)- J. \( CA \)- K. \( ABE \)- L. \( EG \)- M. \( 4D + A \)- N. \( AC \)- O. \( GCB - 2E \)

We know that if E is an mxn i.e., Emxn and F is a pxq i.e., Fpxq then (i) EF defined if n=p Emxn x Fpxq = EFmxq (i)E +F defined if m=p and n=q and Emxn + Fpxq = Emxn +Fpxq= Emxn +Fmxn= (E+F)mxn Given, A is a 3x3 matrix i.e., A3x3 B is a 2x3 matrix i.e., B2x3 C is 2x3 matrix i.e., C2x3