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3 years ago

Please help me answer this step by step would be helpful

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The viniculum in a fraction represents subtraction with exponents.

Subtracting exponents gives us 3^12/3^8 * 3^2

Simplifying gives 3^12/3^10. Then, we can achieve 3^12 - 3^10.

This equals 3^2.

3^2 = 9.

So 9 is the answer of your question.

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

3 years ago

Please help!

Nostrana [21]

Answer: can I see the choices?

Step-by-step explanation:

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3 years ago

Write the equation 2x + 6x + y2 - 8y= 19 in standard form

wariber [46]

Y^2+8x-8y=19... I think?

3 0

3 years ago

Read 2 more answers

14.4 .3 Two students are needed to work in the school store during the lunch hour every day, and four students volunteer for thi

Ray Of Light [21]

Answer:

Step-by-step explanation:

=4!/(4-2)!2!

=4x3x2x1/2x2

=12/2

6 0

2 years ago

Find the distance and midpoints of the following points:

timofeeve [1]

1.) (2, 4) and (10, 8)
Distance: 4√5
Midpoint: (6, 6)

2.) (3, 8) and (7, 3)
Distance: √41
Midpoint: (5, 11/2)

3.) (4, 9) and (9, 5)
Distance: √41
Midpoint: (13/2, 7)

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3 years ago