Determine whether the homogeneous system has nontrivial solutions by inspection (without pencil and paper). 3x1 – 4x2 + 4x3 – x4 = 0 4x1 + x2 - 4x3 + 6x4 = 0 4x1 + 4x2 + x3 - X4 = 0

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A: The equation of a line is y = 8x +7

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A: Use formula of vector component of orthogonal to a

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Q: 4 v 1. 2 Choose -3 40 -5 v 2. Choose 5 Choose 3 -4 -5] -8 v 4. 40 Choose 25 3.

A: A matrix is said to be invertible only if it's determinant has a non-zero value.  

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A: The data is given as: 72, 78, 61, 48, 59, 76, 65

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A: Consider the figure below :

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A: heresolution y=9c'-6c'x+2c'x2+c"e-3xx2when x&gt;0 but near to 0then e-3x→1theny=9c'-6c'x+2c'x2+c"x2 

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Q: ニ エー %3D (gıgi))= 6 キー 7,3),(-5,-4),ta, ), (5, a) . 3D山 ( -4) Find the falowing. ニ 5. 五-X = (x ニ

A: To find out the g-1(x) 

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Q: MULTIPLE CHOICE Question 6 The time required to paint a particular house varies in- versely with the...

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Q: 4. (a) matrix s] Using the method of cofactor expansion compute the determinant of the -2 -3 5. A -7...

A: a) Given: A=-201-31005-7-21341011 Determinant using cofactor method:        A=-201-31005-7-21341011

Q: For the function f(x) = 2x + 9, evaluate and simplify. %3D f(x + h) – f(x) h II

A: Given: f(x)=2x+9 To evaluate  f(x+h)-f(x)h

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Q: Let A = . Knowing that matrix A has an eigenvalue equal to 1, a basis of the eigenspace E1 correspon...

A: Option C

Q: Question 6. Let n, m, k be nonnegative integers such that m< k< n. Show that OC) -OG) k k – m

A: To prove: nkkm=nmn-mk-m We know that nk=n!k!n-k!

Q: 11. Describe the relationship of input and output values for composite functions.

A: Given problem:- Describe the relationship of input and output values for composite functions.

Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x) ...

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A: Solve for the inverse of the function at given value

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A: We need to graph the line.

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Q: use the laws of logarithms to expand the expression log_4(5xy)

A: Solution is given below:

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Q: Proof 2 E K Given: El bisects ZKEV El bisects ZKIV Prove: KE VE and KI VI Statement Reason

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Q: If f(x) = e", then which of the following is f(7)? Select one: O a.7 O b. In (7) O c Inte) Od log (7...

A: On solving this we will get :- option (b) is correct

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A: answer of given question is in step 2

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A: In Fig-1, let BC = 8 ft  be the height of the wall and let AC be the width of the shadow of the wall...

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Q: For the function f(x) = 4x- 3, evaluate and simplify. %3D f(x +h) - f(x) | %3D

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Q: 1. Let 1 01 B= | 2 1 3 2] 3 -1 3] C= 4 1 3 1 2 3] A= 2 1 4] 2 1 2 -4 5] E=0 -4 5] 2 31 3 D= 1 4 3 2 ...

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Q: For an angle of the following measure, state in which quadrant the terminal side lies. -462.5° In wh...

A: When we start from first quadrant and going 4th, 3rd,2nd and again first the we turn -360° . Now aga...

Q: 4. (a) [ matrix s] Using the method of cofactor expansion compute the determinant of the -2 1 -3 () ...

A: choosing 2nd row with most zeros;det(A) = (-1)2+1* a21 * A21            + (-1)2+2 * a22 * A22       ...

Q: 5. Solve the Quadratic Inequality using chart method: -2x2 + 6x + 15 9

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Q: increased

A: