Show that if v is a column vector of length n = 2k, then the matrix-vector product Hkv can be calculated using O(n log n) operations. Assume that all numbers involved are small enough that basic operations such as addition and multiplication take unit time.

Match the following. 1. show grouping of word processing tasks that can be performed quick access toolbar 2. shortcut location for commonly used elements scroll bars 3. organized commands used to modify documents ribbon 4. used to align and measure content in a word screen zoom bar 5. vertical and horizontal bars that are used to navigate through a document contextual tabs 6. displays the name of the document in use ruler 7. allows users to enlarge or shrink a visual of a word document title bar

Which of the following would not be considered a pc? a. mainframe b. desktop c. tablet pc d. laptop

Freya realizes she does not have enough in her bank account to use the debit card. she decides to use a credit card instead. which questions should freya answer before using a credit card? check all that apply. can i pay at least the minimum payment each month? can i make payments on time and avoid late fees? will i have to take out a loan? how much in finance charges can i afford to pay? should i talk to a consumer credit counseling service?