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3 years ago

Select all statements below which are true for all invertible n×n matrices A and B

1 answer:

7 0

The statements that are rue for all invertible n×n matrices A and B are:
(A+B)(A−B)=A^2−B^2
and
(ABA^−1)^4=AB^4A^−1
From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.

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What is the equation for 5 units left and 3 units up from f(x)=x

erastovalidia [21]

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

$f(x) = x$

Shifting the function 5 units left

$g(x) = f(x+5) => x+5\\g(x) = x+5$

Shifting the function upward 2 units

So,

$g(x) = (x+5)+3\\g(x) = x + 8$

The new equation after shifting will be:

$g(x) = (x+5)+3\\g(x) = x + 8$

Keywords: Functions, shifting

Learn more about functions at:

#LearnwithBrainly

3 0

3 years ago

Select from the drop-down menu to correctly compare the numbers.

OverLord2011 [107]

This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.

We also know that √ 108 is greater than √ 100 =10

So we can conclude that
√ 108 > √ 100 = 10 > 9.4247
or simply

√ 108 > 9.4247

by the transitive property of logical propositions.

6 0

3 years ago

5.b) If z^(1/2)=x^(1/2)+y^(1/2) , show that (x+y-z)^2=4xy

Rudik [331]

Answer:

Step-by-step explanation:

(x+y-z)²= 4xy
(x+y-z)²- 4xy = 0
(x+y-z)²-(2√x√y)² = 0
(x+y-z-2√x√y)(x+y-z+2√x√y) =0
[(√x-√y)²-z]*[(√x+√y)²-z]=0
(√x-√y)²-z = 0 or (√x+√y)²-z = 0

We have : z^(1/2)= x^(1/2)+y^(1/2) ⇒ √z = √x + √y ⇒ z = (√x + √y)²

so (√x+√y)²-z = 0

so (x+y-z)²= 4xy

3 0

3 years ago

3w Plus 8g plus 7w plus 6W

Pachacha [2.7K]

Answer:

24wg

Step-by-step explanation:

3w+8g+7w+6w = 24wg

7 0

3 years ago

Write an expression please help me

qwelly [4]

I'm pretty sure it's

(24/3) + x.

Simplify it: 8 + x

4 0

4 years ago