Mathematics, 18.11.2019 22:31 christingle2004

If a is invertible, then the columns of upper a superscript negative 1 are linearly independent. explain why. select the correct choice below.
a. it is a known theorem that if a is invertible then upper a superscript negative 1 must also be invertible. according to the invertible matrix theorem, if a matrix is invertible its columns form a linearly independent set. therefore, the columns of upper a superscript negative 1 are linearly independent.
b. if a is invertible, then the rows of a are linearly independent, which implies that the columns of upper a superscript negative 1 are linearly independent.
c. the columns of upper a superscript negative 1 are linearly independent because a is a square matrix, and according to the invertible matrix theorem, if a matrix is square, it is invertible and its columns are linearly independent.
d. according to the invertible matrix theorem, if a matrix is invertible its columns form a linearly dependent set. when the columns of a matrix are linearly dependent, then the columns of the inverse of that matrix are linearly independent. therefore, the columns of upper a superscript negative 1 are linearly independent.

Answers: 1

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 19:00

Angela is buying a dress that is on sale for 20% off. if the original price of the dress is $40.00, how much money is angela saving on the dress? a. $0.80 b. $3.20 c. $32.00 d. $8.00

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Select all the correct locations on the table. consider the following expression. 76.493 select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column equivalent not equivalent 343 equivalent not equivalent 49 78.498 78.498 75.493 equivalent not equivalent 75.7 equivalent not equivalent

Answers: 3

Answer

Mathematics, 21.06.2019 21:50

Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a b c d

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Charlie tosses five coins.what is the probability that all five coins will land tails up.

Answers: 2

Answer

You know the right answer?

If a is invertible, then the columns of upper a superscript negative 1 are linearly independent. exp...

Questions