(1) (20 points) let a be an n x n matrix. determine which (if any) of the statements are equivalent to the statement the matriz a is invertible. (a) the columns of a are linearly independent. (b) the columns of a span r". (c) the null space ofa is trivial, ie. nul(). (d) there is only one solution to the equation ax = 0 and it is the x = 0. (e) the unique linear map ta : rn ? rn, defined by a, is one-to-one. ) the unique linear map ta : rn ? rn, defined by a, is onto. (g) the rank of a is n. j (h) det a0.

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

but there’s no any figure there!