Let E= {e,, ez, ez} be the standard basis for R?, B = {b,, bz, b3} be a basis for a vector space V, and T:R → V be a linear transformation with the property that T(x1. X2. X3) = - (X2 +x3) b, - (x1 + X3) b2 - (x1 + *2) b3- a. Compute T(e,), T(e2), and T(e3). b. Compute [T(e1)]s- [T(e2)]s. and [T(e3)]s- c. Find the matrix for T relative to E and B.

Q: 6.7 Find the unique number which is equal to its half plus 1.

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Q: 5. 13 12 9.

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Q: dx 0 4-x

A: To evaluate the integration.

Q: 97 Show thet the senas- + a+/ (uhese conveages if B>« and diverges if B0, B>0)

A: Find the convergence and divergence of the given series           1+α+1β+1+α+12α+1β+12β+1+....

Q: 1o.e 4.60

A: trigonometry rule

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Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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A: Solution is done in step 2

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Q: 10 8. ID 116

A: Introduction: The division is one of the four basic mathematical operations, alongside addition,…

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A: Use 2 chords power theorem

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A: we have to find the radius of circle from the given figure

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Q: Diagonalize the following matrix.

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A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 24

A: Solution : find length of side

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A: We have to find radius

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.