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Rudiy27
2 years ago
8

Please help it’s due

Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

4 = 130

2 = 50

1 = 90

3 = 40

:)

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Determine if the specified linear transformation is ​(a​) ​one-to-one and ​(b​) onto. Justify your answer. ​T: ​, ​T(​)​(​,​), ​
xz_007 [3.2K]

Answer:

C. T is not​ one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)

Required

Determine if it is linear or onto

Represent the above as a matrix.

T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right]  \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

8 0
3 years ago
Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

4 0
2 years ago
(08.01 LC)
skad [1K]

Answer:

all students on the track-and-field team

Step-by-step explanation:

if the coach wants to find out if they prefer track or field he/she has to ask the people who are experiencing it right now and tell him or her if they prefer this or not

5 0
3 years ago
Someone please help
AleksandrR [38]

Replace y with 31:

31 = 7x -4

Add 4 to both sides:

35 = 7x

Divide both sides by 7:

x = 5

Input x = 5

6 0
2 years ago
1,100÷22. I know the answer but I am kinda struggling on how that is possible I checked it on paper but I got the wrong answer e
Evgen [1.6K]

Answer:

50 is the answer to this question

5 0
3 years ago
Read 2 more answers
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