question b) is | 2 4 -1 |

A inverse= 1/3 | 1 2 -2 |

| 2 -1 1 |

dont answer 1b and d and 4a

[1' 1 2 {b} lee lGaussJordan elimination to nd A" where A = 1 [1 1 1 2 (l {c} lee part {h} to re-solve Air: 2 b. {d} Determine whether the following vectors are linearly independent. Justify your answer. (I 1 2 1." : 1 1'1}? : [l . and 1,13 : 1 1 2 [l {e} For 1What values of 0: does the following system of equations have no solutions. :r.:2 2:::3 : 3 mi +333 : [1 ml 2.'.F.12 +1115; : 3 1 {1 1 '2. Let A : 1 1 and let #1 : 1 [1 1 53 {a} For 1What values of hp, is h a linear combination of the colnrnns of A? {b} Find a nonzero vector :1: such that A! J: = [1. 1 {l {e} Let a] : 1 and a2 : 1 (a' and a2 are the rst and second rows of AT]. [1 1 Find a nonzero vector y in R3 that is perpendicular to both a] and 0.2. :17] 3. {a} ls the set S of vectors :1: = [ 1" n2 such that 3.13:2 = [l a subspace of lag? Justify your answer. {b} ls the set 32 of matrices A where a.\" : (1.22 and (112 : 0.21 : [1. a subspace of the 2 X 2 rnatrices? Justify your answer. 1 2 1 4.LetA=[_1 _11:|. {a} Find the rank of A