(a) is false. Consider the identity matrix, . Then
bu
(b) is false. Since is invertible, we have
but in general, matrix multiplication is non-commutative.
(c) is true. Let ; then
and so on, down to
which is to say .
(d) is false. Consider , so that
which is singular (i.e. determinant is zero), and thus not invertible.
(e) is true. It follows from the distributivity of matrix multiplication:
(f) is false for the same reason as (b). Expanding the product gives
but in general, .
Step-by-step explanation:
right.
and therefore c is in this case the name of the variable in the equation (or function).
add on.
ah, do you mean (and does this strange problem description mean) that you want the reverse formula : to get C out of F ?
in that case
F = 1.8c + 32 = 9/5 × c + 32
F - 32 = 9/5 × c
5/9 × (F - 32) = c
or
c = 5/9 × (F - 32)
that's it.
Area = length*width
Width = area/length
width = (65 1/4 in^2)/(9 2/3 in)
width = 6 3/4 inches
Hope this helps :)