1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
34kurt
3 years ago
9

Suppose the solutions of a homogeneous system of six linear equations in nine unknowns are all linear combination of four linear

ly independent nonzero solutions. Will the system necessarily have a solution for every possible choice of constants on the right sides of the equations? Explain.
Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

yes, system have a solution

Step-by-step explanation:

Given data

linear equation = 6

unknown = 9

to find out

Will the system necessarily have a solution

solution

we multiply one non zero solution and we know that

A = 6 × 9 matrix

and n = 9

so dim (NulA) = 3  

because we know (9-6) = 3

and rank of (A) =  n - dim(NulA) = 9 - 3  = 6

so we say now here image of A i.e  6 dimensional subspace (A have 6 row)

so that Col (A) will be R^{6}

so its mean Ax = b has solution when we have b

so we now say that yes, system have a solution

You might be interested in
Lauren has 4 3/8 cups of flour.Each batch of her pancake batter needs 1 1/4 cups of flour.How many batches of her batter can she
GuDViN [60]
She can make 3 batches. 3 batches will take 3 3/4 cups. If she made 4 it would take 5 cups
5 0
3 years ago
Help! Quick please!
Vesnalui [34]
B..............
c>=3 and n<0 and p<=(9-3 c)/n
8 0
3 years ago
Read 2 more answers
Cobert 5 feet to to meters to the nearest hundredths place​
Brums [2.3K]
1.5 meters

There is 30 cm in a foot and 5 feet times 30 is 150. There is 100 cm in a meter so 150/100 is 1.5 meters.
6 0
3 years ago
Please show work!!!!!!
Ksivusya [100]

Answer:

3×30000×10/100

3×300×10

30×300

9000

7 0
3 years ago
Read 2 more answers
5r + 15 = 0 ........?
levacccp [35]

Answer: R would equal -3

Step-by-step explanation:

5 x -3 = -15

-15 + 15 = 0

4 0
3 years ago
Read 2 more answers
Other questions:
  • Unit rate for $4.95 for 3 tacos
    10·1 answer
  • An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's co
    5·1 answer
  • Slope of 0 3 and 4 1
    14·2 answers
  • The numbers in this chart represent the weights in kilograms of five
    6·2 answers
  • Please help! I will mark you as brainliest!
    10·2 answers
  • What is the answer? PLZ help me
    12·1 answer
  • John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
    13·1 answer
  • 4x⁴+3x²y²+9y⁴ <br>solve by step by step​
    8·1 answer
  • A garment dealer buys for Rs.10,000 and spend Rs.800 on freight. He seeks the entire stock for Rs.12,960. Find his loss/profit p
    9·1 answer
  • .5 times 6 pls answer this this is for a real test
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!