Es A (a), B (b), C(c) and D (d) are related as x a +yb + zc + wd +z+w=0, where x, y, z and w are scalars (sum of any two of x, y, z and w is not zero). Pr

Q: Q4. If the shaded area in the figure shown is 9 square units, find the value of a using determinant,…

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Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

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Q: 5. x₁ + x₂ -3x1 3 +2x30 X₂ - 2x3 = 2

A: According to Bartley guidelines, these are separate questions. Please ask second question…

Q: 1. Find an orthogonal change of variables that eliminates the cross product terms in the quadratic…

A: Given Q=x12-4x1x2+x22

Q: Consider the fourth-degree polynomial equation a₁ + b₁x²q₁x² + b₂ a₂+ b₂x² a₂x² + b₂ a3 + b3x² a3x²…

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Q: Suppose A is a 2x2 invertible Martix. Is the following statement true or false?  The determinant a A…

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Q: If B has a column of zeros, then so does BA if this product is defined. True O False 4

A: Given B has a column of zeros , then to find BA has a column of zero or not .

Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: Find the parabola y = ax2 + bx + c that best fits the four points (0,0),(1,2),(2,3),(-1,1) by the…

A: Step 1:Step 2:  Step 3: Step 4:

Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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Q: Q1/ The Volume of box that determinate by A=(-i-3k) , B= (-4j+2i-3k) and C=(8i-3j+2k) ?will be 23…

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Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: Let u = (3, 2, x) and v = (2x, 4, x). (a) Find all possible values of x that make u and v…

A: Given thata)We have to find all possible values of x that make u and v orthogonal.b)We have to find…

Q: Q2) Compute the value of the determinant by using the Radial method: |2 1 0 D = 1 2 -1 |2 3 4

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Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: 5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V…

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Q: Find the unique quadratic polynomial y = ax² +bx+c that passes through the three points (1, 1),…

A: What is Polynomial: A polynomial is a real valued function. It is an algebraic function that is…

Q: 4. Express the following statements in one of the forms P V Q, P ^ Q, or ~ P. Be sure to clearly…

A: (a) Let P be the statement  P: The matrix A has zero determinant  Therefore , the given statement :…

Q: 1+a² – & 2ab -26 | 1- a +& = (1+a² +&)* 2ab 2a 26 -2a 1- a – ở

A: Let ∆=1+a2-b22ab-2b2ab1-a2+b22a2b-2a1-a2-b2 Applying R2→R2-aR3 , we get…

Q: Are the polynomials x? + 1,x? – 1, 2x – 1 linearly independent in P2?

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Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Suppose that u · (v × w) = 3. Find (a) u · (w × v) (b) (v × w) · u (c) w · (u × v) (d) v · (u × w)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Solve the System of euations using Cramer's Rule 3x + 34 - Z l 2x _y+ 22=9 | 4C 2=25 +34 +2Z

A: To solve the following equations using Cramer's law3x+3y-z=112x-y+2z=94x+3y+2z=25

Q: I think in the determinant J_22=1 not zero but I understand the concept. thanks

A: For G:R2 to R2  defined by ,It has to be proved that G is an immersion and a topological embedding.…

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Q: (b) Are the polynomials x + 5, x – 5, 2x +1 linearly independent in P1(R)? Explain.

A: The vectors a1, ..., an are called linearly independent if there are no non-trivial combination of…

Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

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Q: 2. (a) Define the dot product of two polynomials p(x) = ao+a₁x+a₂x²+a3x³ and q(x) = bo+b₁x+b₂x²+b3x³…

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