A =3 000-2 0 , B =0 10P-¹AP =where B = P-¹AP.STEP 1: First note that A and B are similar.1-2 01-1 120 -1 1==|B| = 131 -2-113 10 -20-9-633워1 20 -1STEP 3: Does |B| = |A|?O YesO No14-503 00-2 00 0P =STEP 2: Take the determinant of B by expanding along the first row.01-3/23 221 1 -21- 10(3) 20(p-1 =←→- 201 -2 01 20 -1 1

Answered: Image /qna-images/answer/bfb72d4b-c61a-4e4e-a9fa-e5540a555d60.jpg

where B = P-¹AP. STEP 1: First note that A 3 00 0 -2 0 0 0 1 P-¹AP = = || |B| = 13 11 13([ STEP 3: Does |B| = O Yes O No -- [³ 1 -2 0 -1 12 0-1 1 1-2 0 -1 12 0 -1 1 000 |A|? 13 10 -20 -9 -6 3 and B are similar. 3 ][ 14 -5 3 00 0-2 0 0 01 STEP 2: Take the determinant of B by expanding along the first row. ↓ 1 Q 11 3 2 -4 1 1 -2 1 1 -1 BEE 1 10(3) - 32-4 11-2 1 1 -1 || -9 14 - 10-3 20 3-5 1-2 0 2 0 -1 1 -1 3