Find orthonormal bases of the nullspace of A and the column space of A. Your answers should be correct to 4 decimal places.

a) z^2=w b)z^3=w c)z^10=w d)z^50=w e)z^6000=w

Determine whether (p→q)^r is equivalent to p(q^r). To get full credit on this question, you must show your work AND give an answer stating that the tables are equivalent or not equivalent. Consider a "1" to be true and a "0" to be false. p✈q p➜(q^r) Р 1 1 1 1 0 0 0 0 9 1 1 0 0 1 1 0 0 Are the two statements equivalent? r 1 0 1 0 1 0 1 0 (p→q)^r (q^r)

6. Express the roots of the equation x+1 = 8(x- 3) in a + bi for