Answer:
<h3>0.48688</h3>
Step-by-step explanation:
Let's solve your equation step-by-step.
d=(−0.306)(1.67)+0.9979
Step 1: Simplify both sides of the equation.
d=(−0.306)(1.67)+0.9979
d=−0.51102+0.9979
d=(−0.51102+0.9979) (Combine Like Terms)
d=0.48688
Answer:
third option (-3,3,5,9)
Step-by-step explanation:
domain is the starting point of the set (x coordinate )
Answer:
SAS congruence postulate. sweetheart.
Step-by-step explanation:
Answer:
b) -18(2x -3y + 5)
d) 18(-2x + 3y - 5)
e) -2(18x - 27y + 45)
Step-by-step explanation:
a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal
b) -18(2x - 3y + 5) = -36x + 54y - 90 equal
c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal
d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal
e) -2(18x - 27y + 45) = -36x + 54y - 90 equal
f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal
Answer:
(A) Set A is linearly independent and spans
. Set is a basis for
.
Step-by-Step Explanation
<u>Definition (Linear Independence)</u>
A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.
<u>Definition (Span of a Set of Vectors)</u>
The Span of a set of vectors is the set of all linear combinations of the vectors.
<u>Definition (A Basis of a Subspace).</u>
A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.
Given the set of vectors
, we are to decide which of the given statements is true:
In Matrix
, the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column.
has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans
.
Therefore Set A is linearly independent and spans
. Thus it is basis for
.