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MakcuM [25]
3 years ago
7

Show that ifAB=IandAC=I, then it follows that B=C. Explain how this proves thatthe inverse of the matrix A is unique.

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer with Step-by-step explanation:

Suppose that a matrix has two inverses B and C

It is given that AB=I and AC=I

We have to prove that Inverse of matrix is unique

It means B=C

We know that

B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.

B=B(AC)

B=(BA)C

Using associative property of matrix

A (BC)=(AB)C

B=IC

Using BA=I

We know that C=IC

Therefore, B=C

Hence, Matrix A has unique inverse .

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Step-by-step explanation:

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a>−2

4 0
3 years ago
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Aneli [31]

Answer:

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8 0
3 years ago
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95 is 95% of what number?
Serggg [28]
95% * x = 95

95/100 * x = 95

0,95 * x = 95

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3 0
3 years ago
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Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form
Len [333]

Answer

B)(x-5)^{2} + y^{2} = 9


Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

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Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

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Therefore, the answer is B) (x-5)^{2}  + y^{2} = 9

Thank you :)

3 0
3 years ago
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gavmur [86]
Put x on one side of the equation


6x=(76+22)

6x=98
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Simplify

x=49/3
7 0
3 years ago
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