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Answer:
Dimension of the solution space of the homogeneous system =dimension of kernel=3.
Step-by-step explanation:
Given a matrix has 3 rows and 5 columns .
Dimension of Domain=Number of columns in the matrix=5d
Dimension of the row space =2d
We know that dimension of row space= rank of matrix=2d
Rank-nullity theorem : Rank+nullity= dimension of domain=Number of columns in the matrix.
By using rank-nullity theorem
2+nullity=5
Nullity=5-2
Nullity=3
Dimension of kernel=3d
Dimension of kernel=Dimension of solution space
Dimension of solution space=3d
Hence, the dimension of solution space of the homogeneous system =3d.
Answer:
its letter A
Step-by-step explanation:
I bet this question is a science joke. My answer for this would be Elepants. Large circus animals wear elepants to keep their legs warm. People wear pants to keep the bottom parts warm and one of the large animals that we can see in a curcus are elephants. So, yeah, elepants it is.
Answer:
Third option: 5.48
Step-by-step explanation:
Given the quadratic model that represents the approximate height in meters of the ball
. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting
and solving for x.
Then:

Subtract 200 from both sides:

Divide both sides by -5:

Apply square root to both sides:

The ball is 50 meters from the ground after about 5.48 seconds.