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denis23 [38]
2 years ago
6

Which row operation will trangularize this matrix?

Mathematics
2 answers:
Nadya [2.5K]2 years ago
8 0

\left[\begin{array}{ccc}1&0&1\\0&0&1\\2&0&1\end{array}\right|\left\begin{array}{ccc}1\\6\\10\end{array}\right] \xrightarrow{-2R_1+R_3}\left[\begin{array}{ccc}1&0&1\\0&0&1\\0&0&-1\end{array}\right|\left\begin{array}{ccc}1\\6\\8\end{array}\right]\\\\Answer:\ C.\ -2R_1+R_3

cupoosta [38]2 years ago
4 0

Answer:

The correct option is C.

Step-by-step explanation:

Triangular matrix is a square matrix in which either all the entries above the main diagonal or all the entries below the main diagonal are zero. These are now as upper triangular and lower triangular matrices respectively.

The given matrix is

\begin{bmatrix}1 & 0 & 1|\ 1\\ 0 & 1 & 1|\ 6\\ 2 & 0 & 1 |10\end{bmatrix}

In this matrix two elements below the main diagonal are zero. We need one more zero in first column of third row. So, we need to apply an operation to make a zero in first column of third row.

The element in first column of third row is 2.

The element in first column of first row is 1.

R_3-2(R_1)=2-2(1)=0

The required operation is -2R_1+R_3.

Apply R_3\rightarrow -2R_1+R_3,

\begin{bmatrix}1 & 0 & 1|\ 1\\ 0 & 1 & 1|\ 6\\ 0 & 0 & -1 |\ 8\end{bmatrix}

Therefore the correct option is C.

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Write a formula for the nth term of the arithmetic sequence
den301095 [7]

Answer:

Step-by-step explanation:

a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n

8 0
3 years ago
(1 2/7-3/14)/8/15trying to remember how to do this
SOVA2 [1]

We will write it as a fraction in ordet to solve, that is:

\frac{(1\frac{2}{7}-\frac{3}{14})}{(\frac{8}{15})}

We then operate as follows:

\frac{((\frac{7}{7}+\frac{2}{7})-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{9}{7}-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{15}{14})}{(\frac{8}{15})}\Rightarrow\frac{15\cdot15}{14\cdot8}\Rightarrow\frac{225}{112}

We have this, since 1 integer will be equal as a numerator divided by a denominator with equal values. Examples 1 = 2/2, 1 = 45/45, ...

8 0
1 year ago
Name
Aliun [14]

The completed table is given below,

the percentage of girls in the class is 47.62%,

the percentage of boys in the class is (100-47.62)% = 52.38%,

the percentage of students that love Math is 36.5%,

the percentage of students that love Reading is 22%, and

the percentage of students that love Science is 41.27%

To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.

To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.

The below table yields that

The total number of students is 315

The fraction of girls in the class is 150/315 = 0.4762

So, the percentage of girls in the class is 47.62%

Hence the percentage of boys in the class is (100-47.62)% = 52.38%

The fraction of students that love Math is 115/315 = 0.365

So, the percentage of students that love Math is 36.5%

The fraction of students that love Reading is 70/315 = 0.22

So, the percentage of students that love Reading is 22%

The fraction of students that love Science is 130/315 = 0.4127

So, the percentage of students that love Science is 41.27%

Learn more about tabulation here-

brainly.com/question/10670417

#SPJ10

7 0
2 years ago
Kate has a kite with the dimensions shown below. What is the value of X?
sergij07 [2.7K]
Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

\frac{11}{x} = \frac{x}{25}

Cross multiply. 

25*11= 275

x*x= x^{2}

Find the square root. 

√275= 16.583.... 

Or 5√11. 

I hope this helps!
~kaikers

6 0
3 years ago
a salesperson earns 9 commission on sales.the equation for the amount he or she earns in commission is c = 0.9s, where s is the
NNADVOKAT [17]

Answer:

c = $5,400

Step-by-step explanation:

Given:

c = 0.9s

where,

s = amount sold

c = commission on sales

How much commission will he or she earn if the amount sold is $6,000?

Find c when she = $6,000

c = 0.9s

= 0.9 × 6,000

= 5,400

c = $5,400

(c, s) (5400, 6000)

3 0
2 years ago
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