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Compute these vector quantities.
1) (i+3j-k) X (4i-j+2k)2) (-i+3j+4k) X [(2i-j-k)x(i+j-3k)]
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
-2 4 0
1 1 0
-3 4 3
Find the equations for the indicated geometrical objects:
1) the plane containing the line (3t,-t,1-2t) and orthogonal to the plane x-4y+3z=5.
2) the line through the point (2,-1,3) and perpendicular to the plane x-4y+3z=5.
Finding the accumulated value of compound interest.
State at least two hypotheses you might use, specifically stating the null & alternate hypotheses & the type errors that might occur.
Probability values.
Apply the product limit method to determine the survival function
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
The trigonometric function to find exact value.
Permutation and combination
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Three-person Problem of Points
Use of trigonometric ratios to find the distance - Two boats leave the port at the same time.
I need a response to this question: You are tutoring a friend who is just learning how to graph linear equations with two variables. How will you describe at least two methods of graphing lines?
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