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
lbvjy [14]
3 years ago
5

Suppose that A is nonsingular. Prove that its inverse A-1 is unique. [Hint: Show that if there exists two matrices, B and C, suc

h that BA = I and AC −=I, then necessarily B =C.]
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer with Step-by-step explanation:

Let A is non-singular

\mid A\mid\neq 0

We have to prove that A^{-1} is unique.

Suppose B and C are inverse of A such that

BA=I and AC=I

By using property AA^{-1}=A^{-1}A=I

C=C

(BA)C=B(AC)

I\cdot C=B\cdot I

C=B

Hence, the inverse of A is unique.

You might be interested in
Its the 1000 one anyone can help plzzzz
Over [174]
If you mean 1 and 7 over 100 then the answer is 1.07
4 0
3 years ago
Solve the proportion
algol13

Answer: 78

Step-by-step explanation:

The rest of the answers are too small to be the length.

4 0
2 years ago
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
yaroslaw [1]
B) 7/10
It is B because there are 7 out of 10 possibilities that you would get a number greater than 7 or an odd number.
8 0
3 years ago
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
nasty-shy [4]

Answer:

(-4, 7)

Step-by-step explanation:

It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location

6 0
2 years ago
Other questions:
  • Simplify. x+5/x^2+6x+5
    5·2 answers
  • Can someone please help me with this?
    10·1 answer
  • I need help ASAP I’ll mark as brainliest
    7·1 answer
  • 29 is 6 more than k. <br> Solve for k. <br> Make an equation for k.
    5·2 answers
  • Please tell the answer and show the work.
    14·2 answers
  • What would be an equivalent expression for 12 x + 32 x
    12·1 answer
  • I will give you branilest!
    6·1 answer
  • !!PLEASE ANSWER ASAP!!<br><br> is the relation a function?
    7·1 answer
  • The angle of elevation to a nearby tree from a point on the ground is measured to be
    8·1 answer
  • PLEASE HELP i hat ssing
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!