# linear algebra ( multiple choice) 54 Thee set of points 5a. What kund af a Matris…

linear algebra ( multiple
choice)

54 Thee set of points 5a. What kund af a Matris chain Matrices USIC FORA 5 10 The nu space of a Sas matrix has a rank of 2. Now many free varubles ane there Matra Ais Find its determinan a 200 30 72. Given matria A above, find the minar at pestion 3.3 76. What is the inverse of item 72 given the determinant i-71 7. Determine the eigof -12111-S10 Apta 8. Find the eigenvecters of hem 77.(4pts Cannet b. Not pesible St. Using cofactor, if the pouition of the element in the matrix is at rowi clume 2, what is probable sign of 51. s2 I deserminants ane used to solve Aa-b, the method use is caled) b. Cran’s nue Cramerse Craners nule si. The ratio of the transpose of the cofactor and determinant of a mtria is used to determine S4. Three set of points ane collinear i and only i a. Inverve s 0 s5. Four set of points are collinear if and osly I 56. Eigenvalues are usually depictied in what smal case Greck emer? a. Lambd S8. A dagonal matrix is matria whose diagonals are s? a. Egenvector. Eigenspacn 59. What kind of matria de you call where the sum of is colume vector is 1 and the matria is positive? Age transition matr d. Matrix chainb. Matrices 60 The matrk used to model population growa is caled? Matris chain. Matrices Problem Solving (2 pts each 61 calumn vector vand ware [1.1) ane 12.3 what is Swe a [12.18 62. Consider column vector (2.1.41 what is ies lengh? 63. Soive thematra 2 s 2l( a 244 For problema 54 and 65. Matr A is given as 1-23 9 2 5 17 expressed in x.ya, what is the value of G4 63. What is the value ofy? b. Whut is the value of z? SIC 5 10 -15 10 is 1 15 68. The nul space of a 5a5 matrix has a rank of 2. How many free variables are there 69. Matrix A i Find its determinant 0 Matrix A is an identity matrix having a dimension of 1t. Find its determinant b. 10 71. Matrix A is given as252 Find the minor at positon 2.1 30 72. Given matrix A above, find the minor at pesition 3,3 73. What is the cofactor of item humber 717 74. What is the cofactor of item number 727 75. What is the inverse of item 71 given the determinant is -713 b. 0.5 76. What is the inverse of item 72 given the determinant is-73 b. 0.05 0.014 e 0.012 77, Determine the elgenvalue of (I2-121.11-5ID 14pts) a -1,2 3-2 78. Find the elgenvectors of item 77.(4pts