Answer:
No, H is not a subspace of the vector space V.
Step-by-step explanation:
A matrix is a rectangular array in which elements are arranged in rows and columns.
A matrix in which number of columns is equal to number of rows is known as a square matrix.
Let H denote set of all 2×2 idempotent matrices.
H is a subspace of a vector space V if for and .
Let
As , A is idempotent.
So,
So, A+A is not idempotent and hence, does not belong to H.
So, H is not a subspace of the vector space V.
Answer:
<h2><em><u>44</u></em><em><u>.</u></em><em><u>4</u></em></h2>
Step-by-step explanation:
<em><u>Let</u></em><em><u>,</u></em>
The number thought by Sushil = x
When halved = x/2
<em><u>We</u></em><em><u> </u></em><em><u>know</u></em><em><u> </u></em><em><u>that</u></em><em><u>, </u></em>
When the number is halved then it becomes 22.2
<em><u>Therefore</u></em><em><u>, </u></em>
The original number is,
=> x = 22.2 × 2
=> x =<em><u> 44.4 (Ans)</u></em>
2.40/6 I believe tell me if it is right
Answer 74. y=2x
a) The line passes thought the origin, This is true.
if x=0 ⇒y=2*0=0 then , the line passes thought the origin (0,0).
b)On the line the value of eche abcissa is twice the value of its corresponding ordenate, this is false.
if x =2 ⇒y=4, therefore on the line the value of each abcissa is half the value of its corresponding ordenate.
c)The line has a slope of 2; this is true
m=2
d)The line is parallel to a line passing throught point (1,-3) (3,1) this is true, because the slope is the same.
Given two points (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₂-y₁) / (x₂-x₁)
inThis case:
m=(1+3) / (3-1)=4/2=2
Answer:b)On the line the value of eche abcissa is twice the value of its corresponding ordenate. This is not true