Answer:look up on google
Step-by-step explanation:
A vector space
is a subspace of a vector space
if
is non-empty,- for any two vectors
we have
, and - for any scalar
and
we have
.
It's easy to show the first condition is met by all the sets in parts (a-g).
(a) is a subspace of
because adding any 2x2 diagonal matrices together, or multiplying one by some scalar, gives another diagonal matrix.
(b) and (c) are also subspaces for the same reasons.
(d) is not a subspace because
because this set of matrices does not contain the zero matrix.
(e), however, is a subspace. Any linear combination of matrices in this set always yields a matrix with 0 in row 1, column 1 entry.
(f) is a subspace. A symmetric matrix is one of the form

Adding two symmetric matrices gives another symmetric matrix:

(g) is not a subspace. Consider the matrices

Both matrices have determinant 0, but their sum is the identity matrix with determinant 1.
Answer:
Part a) 
Part b) IHG is a semicircle and GJI is a semicircle
Part c) HIJ is a major arc and HIJG is a major arc
Part d)
Part e)
Step-by-step explanation:
Part a) Give an inscribed angle
we know that
The inscribed angle measures half that of the arc comprising
so
in this problem m<HIG is an inscribed angle

----> by central angle
substitute

Part b) Give a semicircle
we know that
The diameter divide the circle into two semicircles
so
GI is a diameter
therefore
IHG is a semicircle
GJI is a semicircle
Part c) Give a major arc
we know that
The measure of a major arc is greater than 180 degrees
therefore
HIJ is a major arc
HIJG is a major arc
Part d) Measure of arc GH
we know that
----> by central angle
so
Part e) Measure of arc GJI
we know that
----> the arc represent a semicircle
The answer to this would be 1/5.
hope this helps
ANSWER:
The value of AB is 23
STEP-BY-STEP EXPLANATION:
We know that AB is part of AC, and that DB cuts into two equal parts (half) since it is a median, therefore the value of AB would be