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
N76 [4]
3 years ago
12

Find the value of k for which the matrix A = [2 -5 9 -1 3 -5 7 1 k] has rank 2. k = _________.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

k = 13

Step-by-step explanation:

Matrix is;

A =

[2 -5 9]

[-1 3 -5]

[ 7 1 k ]

Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.

Thus, we have;

2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0

Simplifying further gives;

2(3k +5) + 5(-k + 35) + 9(-22) = 0

6k + 10 - 5k + 175 - 198 = 0

k - 198 + 185 = 0

k - 13 = 0

k = 13

You might be interested in
What is a relation?????????????????
Mekhanik [1.2K]

Answer:

c.

Step-by-step explanation:

6 0
3 years ago
Emma has money in two savings accounts. One rate is 7% and the other is 8%. If she has $450 more in the 8% account and the total
hodyreva [135]

Answer:

420

Step-by-step explanation:


3 0
4 years ago
Need help with a congruent answer! NEED IT FAST PLEASEE
kirza4 [7]
The answer is A
Hope that helps
3 0
2 years ago
connor bought 40 pencils for 0.35 each. Mara bought 70 pencils at the same price. how much more money did Mara spend?
Eduardwww [97]
$10.50... multiply each quantity by .35cnts...$24.50-$14.00=$10.50
3 0
3 years ago
Plz help find the rule 50 points
atroni [7]

Answer:

1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........

Each number is multiplied by itself.

4 0
3 years ago
Other questions:
  • Can someone help me with this please
    5·1 answer
  • The solid was created by connecting two congruent square pyramids to a rectangular prism.
    11·2 answers
  • Enter your answer in the box
    11·1 answer
  • Consider the circle where QR = 7 units and UT= 4 units. What is the value of X, if x represents the length of segment ST? A. 15
    6·1 answer
  • Sasha is making some shelves which are 75.5 cm long. If the wood she is using is 180 cm long, how many pieces will she need to m
    6·1 answer
  • Express 0.001 in words.
    5·1 answer
  • Write 8400 in standard form​
    10·2 answers
  • I don’t understand what to do
    6·2 answers
  • Can Someone please explain to me how i do this so i can stop asking for help.
    10·2 answers
  • Let f(x) = x + 4 and g(x) = x – 3. If g is a vertical translation of f, how many units and in what direction is f translated to
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!