Q: Use a determinant to find the area of the triangle with the given vertices

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Q: e make it step by step solution:  d.Using Matrix [B1] and [B2] prove that by solving the…

A: Introduction: The determinant is defined as a scalar value related to the square matrix. If X is a…

Q: 2 18 -3

A: Let's find.

Q: The set S is called a spanning set of V if the determinant is a. zero b. negative numbers c.…

A: Solution

Q: If A =  4   3         and  B =  2    -5            -1   -2                       -1    -2 Find (a)…

A: Solution : please see this image for detail and every answer.  I have follow the basic property of…

Q: write about 3 to 4 applications of Determinants?

A: A matrix can be used to represent the coefficients in a system of linear equations, and the…

Q: If A = 6. B= [-3 , 2] and C = what is the %3D 3 -2 determinant of (AB – 2C)" ? |

A: Given that  The matrices  To find the (AB-2C)^T

Q: - Fill in the blanks with appropriate numbers to calculate the determinant. Where there is "±",…

A: det21-34Find the matrix determinant according to formula:  deta  b c  d  = ad-bc=2· 4-1·-3=11

Q: Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the…

A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: Verify the given 7 properties with a suitable matrix (i) Value of the determinant remains unchanged…

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Q: If A and B are inverse of each other, the determinant of AB is

A: Determinant properties are used

Q: If A = 4 3    and      B = 2 -5         -1 -2                    -1 -2 Find:- a) A2   b)…

A: Matrix and determinants

Q: What is the determinant of 1 2 3 4 5 6 ? 7 8. 9.

A: Wevhave to determine of Matrix....

Q: Evaluate the determinant: 1 2 3 -2 -1 -2 3 2 O 4 4,

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Q: GIVE 2 EXAMPLES FOR THIS THEOREM OF DETERMINANTS Theorem 9: The sum of the products of the elements…

A: To give the examples of the theorem of determinant which is the sum of the products of the elements…

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: II. a. Find the area of the quadrilateral whose vertices are G4).-4).8) using determinant. ,29 and…

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Q: GIVE 2 EXAMPLES FOR THIS THEOREM OF DETERMINANTS Theorem 6: If we express the elements of each row…

A: We will find out the required examples.

Q: Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1…

A: Note the following properties of determinant : Property 1 : If any two rows (or columns) of any…

Q: IN SIMPLE STRAIGHT FORWARD TERMS, explain exactly how the determinant is effected if 1) We scale a…

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Q: Use the determinant to find the equation of a plane passing through the points (3, 2, -2), (3, -2,…

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Q: 1)   If A = 2  -1 and   B = 1 -2               7   0                  3 -3   Find:-       a) AB…

A: Given the matrices, A=2-170 and B=1-23-3

Q: evaluate each determinant by expanding by minors along the first row. −2 −3 −4   5 −6   7  -1  2…

A: Evaluate the determinant -2-3-45-67-120

Q: Use a determinant to find the area of the triangle with the given vertices.(−4, 0), (4, 0), (0, 6)

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Q: 2. Use determinants to calculate the area of the triangle with vertices (-1,2), (5,-3), and (4,4).

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Q: Show without computation that the following determinant is equal to zero. Hint: Consider the effect…

A: we have to show without computation that the given determinant is equal to zero. the given…

Q: A = 1 7+ Toon

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the Determinant 4. - - ad - bc -2 8. 2) [, det %3D -4 ad - bc Determinant 3D

A: 84-4-2

Q: Use a determinant to find the area of the parallelogram with the given vertices. (0, 0), (2, 0), (2,…

A: On solving , we get

Q: 4. Fill in the blanks with appropriate numbers to calculate the determinant. Where there is "+",…

A: Given: (a) 21-34= (b) 1023210-34=

Q: Use elementary row operations to evaluate the given determinant. (1, 7, −3; 1, 3, 1; 4, 8, 1)

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Q: Using the theorem on determinants, show that 11 а а- А %3D |1 b b2| %3D (b — а)(с — а)(с - b) с с2

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Q: Find the area of a triangle with given vertices using determinants: A(0,0), B(3,1) and C(1,5) 8 5 7…

A: This question is based on finding area of triangle using determinant.

Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (-2, 5), (7,…

A: Given that: Points are-  (-2, 5), (7, 2), (3, -4)

Q: If A =     4   3     and   B =    2    -5                   -1   -2                      -1    -2…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Use determinants to find out if the matrix is invertible. - 25 2 - 5 -6 2 O 10 -3 1,

A: A metric is set to be invertible if its determinant is non zero. We will find the determinant of the…

Q: If A =     2   1     and   B =    2    -3                   8   6                      -1    -2…

A: We have A=2    18    6,B=2     -3-1    -2

Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (1, 0), (3, 5),…

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Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…

Q: in a determinant the number of rows need not be same as the number of columns true or false?

A: We can solve the problem in a logical way.

Q: B = D = NUE OF 5 9- 7 - - - - Noo 5 نیا --- - 6 -

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Q: Sketch the triangle with the given vertices, and use a determinant to find its area. (-1, 3), (2,…

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Q: If A =     4   3     and   B =    2    -5             -1   -2                      -1    -2 Find:-…

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Q: Given that the vector å = a,î + a2j + azk and b = b,î + b2j + b3k. Show that the vector product of å…

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Q: 1. Encuentre la ecuación del plano determinado por los puntos P(1,2,3) Q(2,3,1) R(0,-2,-1) 2.…

A: Vector equation of the plane passing through the three points with position vectors a, b and c is…

Q: Without performing calculations, explain why the determinant of 1 0 0 3 0 4 2 -1 8 3 -2 4 1 is zero.

A: We prove that rows of the matrix is linearly dependent. If rows of a matrix is linearly dependent…

Q: If A = 4   3            and   B =               2    -5 -1 -2                   -1    -2 Find:- a)…

A: Given the matrix A, B

Q: Use a determinant to find the area of the triangle with the given vertices. (-6, 0), (6, 0), (0, 3)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use a determinant to find the area of the triangle with vertices (−2, 2), (8, 2), and (6, −5).

A: We suppose value in z axis for all three vertices to be 1.  Area of triangle=12×determinant