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Marina CMI [18]
3 years ago
5

Can you please help me solve

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer:

First Problem:

1/2 * -2 2/5 = 1/2 * -12/5 = -12/10

Simplify -12/10 into -6/5

Step-by-step explanation:

You might be interested in
Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
3 years ago
A random sample of 169 observations is to be drawn from a population with a mean of 80 and a standard deviation of 39. find the
Drupady [299]
Mu=80, sigma=39, X=85
Z=(X-mu)/sigma = 5/39=0.128=0.13
P(X<=85)= 0.5517 (from Z-table)
so, P(X>85)=1-0.5517=0.4483 approx. thats 44.8% probability.

8 0
3 years ago
A company makes a profit of $2 per software program and $3 per video game. The company can produce at most 40 software programs
Helen [10]

Answer:

reeg

Step-by-step explanation:

3 0
3 years ago
What is the area of this composite shape?
grin007 [14]

Answer c: c

Step-by-step explanation:

c

8 0
3 years ago
Jill jumped 6
MatroZZZ [7]

Answer:

44 ft

Step-by-step explanation:

You would subtract 657 - 613

6 0
3 years ago
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