Question

somebody help!
A= n*n matrix, det (A) = 7, find det(2A)

Answer 1

det cA = c^n detA

Answer 2

2^n(det(A))
=2^n(7)

Answer 3

yeh i knew to use that formula...just wasn't sure if the answer was suppose to be like 2^n(7)

Answer 4

or something else

Answer 5

If you were given the value of n then the answer would've been different.

Answer 6

multiblying A by 2
A=2n*n
det(A)=14

Answer 7

ah k...excellent...thanks...thought it was a trick question

Answer 8

a b
c d

det = ad - bc

2a 2b
2c 2d

det = 4ad - 4bc = 2^2(ad-bc)

Answer 9

\[2^n\times 7\]