Consider the matrix 11 11 a) Find an orthonormal basis for CCA), the span of the columns of A. b) Find an orthonormal basis for the orthogonal complement C(A). a Find vectors v in C(A) and w in C(A) se that (1 2 3-v+ w.

Q: Prove this theorem Let a,b,c be an element of real numbers where a is not equal to zero. The…

A: Use the provided information.

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Q: Problem 18. Show that dz < 2ne? 1/31 +3

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Q: Show that if A is square, then |detA| is the product of the singular values of A

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Q: Explain how the Pythagorean Theorem can be used in the real world. Who might use it on a regular…

A: topic- Pythagorean theorem

Q: Is it possible to solve this question without graphing? Just pure algebra.

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Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

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Q: x1 + 2x2 – 3x3 = -3 x1+ 2x2 – 3x3 2x1 – 5x2 + 4x3 = 13 5x1 + 4x2 – x3 = 5

A:

Q: Exercise 10-6. Let u= (12) and v= (12345). Find vuv-¹, v²uv-2, and ບ°uv3.

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Q: Use Cramer's rule to solve the following set of equations, 2x1 + x2 =44 x1 + x2=72 3x1 + 5x3=69 2x2…

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Q: 3 dy find dx If y = 6x+ 5. x=1

A: We use the derivative formula     ddxxn=nxn-1

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: = 10 2x + 3y + Z 2x - 3y - 32 = 22 4x - 2y + 32 = -2

A:

Q: Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

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Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

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A: Given matrix is,

Q: Show that B is the inverse of A.

A: Given, The matrices are,

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Q: f (z) = -7z4 + z2 – 25

A: This equation is about the fundamental theorem of algebra. In which for the equation shown identify…

Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

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Q: If the roots of ax² + bx - 2 = 0 are a + b = 1+√3 3 I what is a+b?

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Q: Open Geogebra and choose "Spreadsheet." You can also get to the Spreadsheet through the "View" menu.…

A: 1) Mean of x 2) Mean of y

Q: create any mathematical problem and show its solution.

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Q: Derive the formula for the False Position Method

A: Derive using the concept of similar triangles.

Q: (d) a₁ = 2, an+1 = 1 3- an

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Q: Find A-1 and det(A) A = -24 -18 -20 -15 -5 -4 5 4 1

A: % Defining matrix AA = [-24 -18 5; -20 -15 4; -5 -4 1]; A  % Find determinant of a matrix A…

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A: Given matrices: A=8-5-32,   B=2538

Q: Salling elution uSin) matrice f. 22 I1-1o Ta-12 Ia =24 -1oI+38I2-413 -12I 4 I 2 1673=-6 t

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.