# Homework Help for Statistics (page 21)

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Version 1 MATH 133 Final Exam - April 18, 2008 II.2 (15 points) Consider the matrix M = [1 1 | 1 2 1 2 3 5 | 1 3 4 5 5 14 6 -3 71 -5 8 -6 11 -13 23 -7 9 . (a) Find the reduced echelon form of M, showing your work. (You should find that M has rank 3.)
3 Jan 2018
3. If det au 012 013 221 222 223 231 232 233) (A) 6 (B) (3a11 +231 3012 + 232 3013 + 233 = 4, then det 221 +211 222 +212 223 +013 has the value 231 + 2011 232 + 2a12 033 + 2013 - 6 (C) – 12 (D) 4 (E) None of the above.
2 Jan 2018
(b) Show that one of the eigenspaces of A has dimension 2.
31 Dec 2017
14. The function defined by (sin(81) if x < 0, f(x) = { 2x la cos(5:) if x > 0. is continuous if and only if a is (a) 5, (b) 8, (c)4, (d) -1, (e) 0.
31 Dec 2017
(5) A function f(r) is defined for all positive real numbers and satisfies the equation \$() = 23 for every 1 > 0. Find f'(4). Answer:
31 Dec 2017
(b) Find the shortest distance between the line AB and the line CD.
30 Dec 2017
2. (10 marks) ex-y = xy. Determine the (a) Consider the curve C implicitly defined by the equation equation of the tangent line to Cat (1,1). (b) Compute the derivative of y = (sin x)sin .
30 Dec 2017
3.(bola) let n = ( ) (1 2 3 3. (8pts) Let A= 2 4 6 14 8 12 (a) Solve the homogeneous system AX = 0. (1)
30 Dec 2017
3. Let u and v be vectors in R3 such that ||u|| = 2, |v|| = 5, and u.v=3. Then ||u - vll= (A) 35 (B) /43 (C) 43 (D) 23 (E) 29
29 Dec 2017
[ ] , V3 = 12. Let V1 = -3 4 -3 -1 , V2 = [-11 -6 , V4 = [ 1] 0 L-1 Which one of the following statements is true ? (A) {V1, V2, V3} is a basis of R3, (9) (v.) bei of span {[:] 7:]} i] [- (B) {V1, V2} is a basis of Span ( 0] [ 0 (C) {V1, V2, V4} is a basis of Span{V1, V2, V3, V4}, (D) {V1, V2, V3} is a basis of Span{V1, V2, V3}, (E) {V1, V2} is a basis of Span{V3, V4}.
29 Dec 2017
(4) Find the equations of both lines through the point (2, -1) that are tangent to the parabola given by y= 22 +2.. a tenere et bien
27 Dec 2017
a. The plane has de estar contre : 1-6-6-li) mesur paper [7] 9 [ 2 3 6. The plane 7 has the vector equation 1 = + 2 + . A vector perpen- dicular to this plane is (A) (1, -1,27 (B) (1,-1,1]? (C) (7,9,117 (D) (1,0,–2,7 (E) (-1,7, -9]T
27 Dec 2017
1. If A = ( ) has determinant -3, B =( le d ) lcd has determinant 2, 20 20 and C=1 ), then the determinant of 3adi (C-1) is la-2a 6 -- 26 ): the B) -12. C) - D) - (E) None of the above. 10 Wien