Answer:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions
Answer:
Step-by-step explanation:
great question.
any term that is not being multiplied by a variable is a constant.
c is your answer the last term is the number 3 and is not being multiplied by x or y or m (which are all variables)
https://www.tiger-algebra.com/drill/3%7Cx-1%7C%3E=12/
Sources tiger algebra.com
Answer:
17.96m/s
Step-by-step explanation:
Based on law of conservation of momentum;
m1u1 +m2u2 =(m1+m2)v
v is the velocities of the car after impact
Substitute the given values
1300(20)+900(15) = (1300+900)v
26000 + 13500 = 2200v
39500 = 2200v
v = 39500/2200
v = 17.96m/s
Hence the speed of the cars after impact is 17.96m/s