i only need help with question 3

PLEASE DONT ANSWER THIS QUESTION. IT WAS POSTED BY ERROR. I ALREADY SOLVED THID QUESTION. SO DONT ANSWER!!!!!!

Expert Q&A SECTION 2.1 EXERCISES 1. Le 3. Evaluate the following determinants (a) Find the values of det , det and det M ) b) Find the values of Ari. A. and A. le Use your answers from part (b) to compute det) 2. Use determinants to determine whether the follow- ing 2 x 2 matrices are nonsingular d) 31 ,3,4,5,6 done show your work 94 Chapter 2 Determinants 5 L el 4 - 2 2 1 3 12 0 0 11 0 1 0 0 01 6 2 0 i 1 -2 3 2 1 2 1 3 0 1 1 7 Ahead matrix with and Show that A is now equivalent to if and oth -- + + de 3000 & Write out the details of the proof of Theorem 2017 9. Prove that if a row or a column of an A consists entirely of zeros, then det)=0 10. Use mathematical induction to prove that if Ais on + ) x + 1) matrix with two identical to then det(A) = 0. 11. Let A and B be 2 x 2 matrices (a) Docs det(A + B) = det(A)+det(B) b) Docs det ) det) det(B)? (e) Does det ) = det ? Justify your answers 12. Let A and Bhe 2 x 2 matrices and let 4. Evaluate the following determinants by inspection (a) 200 (b) 4 1 0 7 32 11001 c) 14 0 2 5042 10 2 3 5. Evaluate the following determinant. Write your E-18 ) 6. Find all values of for which the following determ inant will equal a) Show that A + B) = det ) + dest) + det)+det . (b) Show that if B = EA. then det + B) = det)+de . La Ahea stritidas al matris die ymmetric and whenever - j >> I). LA be the formed from A by deleting the first os and comes Show that t