Linear Algebra -- Subspaces

Determine whether the given sets form subspaces of R-square. What does the T stand for in these equations?

Linear Algebra -- Spanning Sets

Proving X as an element of the spanning set (see attachment)

Linear Algebra -- More Spanning Sets

Solving problems on spanning sets

Probability and Statistics College Project

We were supposed to find all these stats on colleges such as # who applied and # who got accepted, then it says to find the mean mode and median for all the info and I don't know what it means...of all five colleges...of just one...can someone help me find these averages please...I'm desperate.

Determining the total number of solutions (including complex and repeated)

Determine the total number of solutions (including complex and repeated) of the following equations. 1.) 4x^3 - 7x^2 + 5x - 9 = 0 2.) 8x^6 - 3x^4 - 11x^3 - 2x^2 + 4 = 0 3.) x^5 + 2x^3 - 4x^2 + 7x = 12 4.) -3x^4 + 2x^3 + 15x^2 - x + 1 = 8

Determining measurements for perimeter maximization.

An architect is designing an office building that is 120 feet by 72 feet. The architect wishes to use prefabricated rectangular panels to construct the outside walls. If the same size panels are to be used on all sides of the building what is the widest panel that can be used? Explain your reasoning.

Understanding an example about economic life of capital assets. Attachments in Word.

The attached file contains a worked example from a textbook. Explain it.

Formulating and cross tabulating distinct hypotheses concerning relations between variables.

Formulate two distinct hypotheses concerning relations between variables. Cross tabulate the two pairs of variables corresponding to each hypotheses.

Matrix Theory/Isometries

Find the eigenvalues and eigenvectors of A. See attached file for full problem description.

Matrix Theory/ Isometries

Fix in Consider the real linear map given by (a) With respect to the basis B = {1, i, j, k}, find the associated matrix for . (b) Find the associated matrix A (sub alpha bar) for M (sub alpha bar). Compare with (a). (c) Compute det(A sub alpha) and det (A sub alpha bar). Interpret. See attached file for ful ...continues