21
Statistics and Probability
21.1
INTRODUCTION
Statistics is as old as human society itself.
It is difficult to imagine any facet of our life untouched by numerical data. Modern society
is essentially data-oriented. It is, therefore, essential to know ho
Linear Algebra and Probability
Midterm 1, Spring, 2016
Name
Show Your Work! Point values are in square brackets. There are 37 points possible.
1. The span of a collection of vectors in R3 can be a point, a line, a plane, or all of R3 . What is
the span of
Linear Alg and Prob, Sect 2
Quiz 7, Spring, 2016
Name: KEY
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on the back if you need more space.
1. The matrix
0 1 3
A= 2 2 5
1 1 2
(a) Find a permutation matrix P
Linear Alg and Prob, Sect 2
Quiz 1, Spring, 2016
Name: KEY
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the back if you need more space.
1
2
1. Suppose v = 2 and w = 1 . Find
1
2
(a) The dot product of v an
Math 202-02
Quiz 2, Spring, 2016
Name: KEY
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the back if you need more space.
1. Suppose
1
0 0
1 0
A = 1
0 1 1
x
(a) If x = y , find Ax.
z
(b) If its possible, fi
Linear Alg and Prob, Sect 2
Quiz 3, Spring, 2016
Name: KEY
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the back if you need more space.
1. Recall our algorithm for back substitution:
/* A is the augmented
Linear Alg and Prob, Sect 2
Quiz 6, Spring, 2016
Name: KEY
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the back if you need more space.
1. Find the number of floating point operations carried out by the fo
Linear Alg and Prob, Sect 2
Quiz 5, Spring, 2016
Name: KEY
Show Your Work! Each problem is worth 3 points. Continue on the back if you need more space.
If the matrix is invertible, use Gauss-Jordan elimination to find its inverse. If the matrix is not
inv
Linear Alg and Prob, Sect 2
Quiz 4, Spring, 2016
Name:
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on the back if you need more space.
Elimination (with row-swapping) will convert the matrix A
0 1 1
1
A= 1 3