The perimeter of square WXYZ is 124. Find the length of WX<br><br><br><br> Please I need asap

A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a

ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

= b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

= b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0

3 years ago

Between which two rational numbers is squar root of 3 located

inessss [21]

We know that;

$1 ^{2} = 1 \\ 2^{2} = 4 \\ 

And 3 is between 1 and 4, therefore;\\ \boxed{1 \leq \sqrt{3} \leq 2 }

$

3 0

3 years ago

The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.

Masteriza [31]

Answer:

Option A. 0.20

Step-by-step explanation:

Observations from the given frequency table are :

Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2

= 15

Number of twin beds sold = 3

Then, probability that the next bed sold will be a twin bed,

$P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}$

$=\frac{3}{15}$

= 0.20

Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.

Option A. is the correct answer.

5 0

4 years ago

Read 2 more answers

Solve (x + 3)2 – 5 = 0 using the quadratic formula.

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify

x= -3 +√5 and x= -3 -√5

4 0

3 years ago

Can someone please help me understand this?!?! i dont know what to even do.

Nonamiya [84]

Remember that a parallel line has the same slope...
So we already know the slope of the line containing point C is -4.

Using point slope equation, we can do...

y-y₁=m(x-x₁)
y-7= -4(x-4)
y-7- -4x+16
*Add seven to both sides...* y=-4x+23

There is you answer... hope this helps!

7 0

4 years ago

Read 2 more answers

The perimeter of square WXYZ is 124. Find the length of WX Please I need asap