Find the ranks of the 8 by 8 checkerboard matrix B and the chess matrix C: 1 0 1 0 1 0 1 0 r n b q k b n r 0 1 0 1 0 1 0 1 P P P P P P P P B= 1 0 1 0 1 0 1 0 and C= four zero rows p p p p p p p p 0 1 0 1 0 1 0 1 r n b q k b n r The numbers r, n, b, q, k, p are all different. Find bases for the row space and left nullspace of Band C. Challenge problem: Find a basis for the nullspace of C.

Lecture 1: Introduction Simplify the Expressions: 1. 5(3x+4)-4 = 15x+20-4 = 15x+16 2. 4(5y-3)-(6y+3) = 20y-12-6y-3 = 24y-15 3. l -5-3 l = l-8 l = 8 Order of Operations Please Excuse My Dear Aunt Sally = Parenthesis Exponents Multiplication Division Addition Subtraction Exponents: 3 2 5 1. (x 1/3x 2/3 x 1...