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: 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: In 2-space, the absolute value of the determinant is equal to the area of the

A: The absolute value of the determinant is equal to area of _______

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: Find the determinants in Exercises by row reduction to echelon form. -1 -4

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Q: Theorem 4: If at elements in any row (or column) are multiplied by a number, the determinant is also…

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Q: to compare the numbers of operations involved in calculating the determinant of a 10 × 10 matrix by…

A: We use the Row Echelon Form Method.    It is used to reduce the given matrix to triangular form and…

Q: Find the value of the determinant D given by: a 3. D =c d -4 %3D 6. 9. where a = 3, b = 5, c = 9, d…

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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…

A: Solved below

Q: Use a determinant to find the area of the triangle with vertices (0,0), (4,5), and (5,-2).

A: Use the determinant to find the area of a triangle with vertices (0,0),(4.5).(5.-2)

Q: 12 10 312 4 3 1

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Q: What happens to the value of a second-order determinant if the two columns are interchanged?

A: The value of a second order determinant becomes "-1"times of the original determinant value if the…

Q: If A = 5 1 and B = 3 -6           3 2               1 -3 Find:- a) A2 b) determinant A c) AT d)…

A: Concept Used: Consider A=[abcd]Then AT=[acbd]|A|=ad-bcA-1=1|A|[d-b-ca]

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: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

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Q: 1) If A = 4 3 and B=(2 -5 -1 -2 -1 -2 Find:- a) A b) determinant A c) Adjoint A d) B-'

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

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Q: If any two rows of a determinant are interchanged, its valueis best described by which of the…

A: If any two rows of a determinant are interchanged, then its value changes sign.

Q: 7. find the determinant of the following matriz : 15 -2 4 -5 -3 6 6 -7]

A: # we are entitled to solve one question at a time, please resubmit the other question of you wish to…

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

A:

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: Use Cramer's Rule to solve for x, in the system: -x, - 4x, +x, =-5 3x, +x, - 2x, =-13 2x, – 2x, +x,…

A: Concept:

Q: Use Cramer's rule to solve the system: Зх — 3x 2y + z = 16 2x + 3y - z = -9 x + 4y + 3z = 2. %3D

A: Given: 3x-2y+z=162x+3y-z=-9x+4y+3z=2 We know that by using Cramer's rule solution of system of…

Q: Find a concise 3 * 3 determinant formula that gives the area of a triangle in the xy-plane having…

A: To determine the determinant formula that gives the area of a triangle.

Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

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)

A:

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: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: Given determinant: ijk4-62-23-1

Q: Use Cramer's Rule to solve the system. 3x + 8y = 21 2x-5y= - 17 %3D and y =

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Q: Use Cramer’s Rule to solve the system.

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Q: When expanding a determinant by minors, when is it necessary to supply a minus sign?

A: When expanding a determinant by minors, we need to supply minus signs while in an alternate way. For…

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: To express the determinant in the form of ai+bj+ck for real numbers a,b,c. ijk5-6-1301 Solution:…

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

A:

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

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Q: Solve the system by using Cramer's rule. Зх — 5у %3D 7 11x + 2y = 8

A: We first find the determinant of the matrix made by the coefficients of x and y

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: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

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Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the…

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