1. Find the determinant for -6 4 1 -3" a) E = b) F =| -5 2 -2 5

Q: -18 -11 -10 E adj A = 2 14 - 4 then absolute value of determinant 4 5 -8

A: In this question, the concept of the determinant is applied. Determinant Determinants are a type of…

Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: 10 Find the determinants of A, B, C: 0 3 7 1 7 1 6 0 0 0 0 1 0 4 0 3 8 1 0 0 0 0 0 3 0 0 0 0 0 2 0 0…

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Q: 2. Find the determinant and invers a) -3 7 9 1 3 4 b) 1 9 3.

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Q: 1.3.6 Show that the multiplicative property of determinants gives the real four- square identity (af…

A: To show: The multiplicative property of determinants gives the real four square identity: -…

Q: Compute the following determinant. 4 4 2 -5

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Q: 2. Find the determinant [1 a) A = 2 -1 1 Lo %3D 1 -1 23

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Q: 1 2. Compute the determinant of 3 4 -1 -4

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Q: 5- Solve the following determinants :- -1 -21 [2 3 1] 2 a) 4 5 31 L1 2 b)-1 2 1 3 -3] [1 d) 0 2 -2…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 5. Compute the determinant of 27 10 -27 35 3 -8 11 A = 14 -14 -5 -18 - -3 4 Does the inverse matrix…

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Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 0 - 20 -54 0 1 0…

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Q: snip

A: To compute the determinant of A = 5-321022-13

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: How can the following problem be solved?  Use a determinant to find the area of the triangle with…

A: To solve the following

Q: 18.Find determinant of matax A=14-1| detfA)=

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Q: Question 3 Prove the identity without evaluating the determinant (Using properties). a1 b1 + ta1…

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Q: What is the determinant of 1 -3 4 1 1 -3 5 6 1 2 -4 2 4 -6 9 10 -2 -4 6 -8 -9 2]

A: Given  12-34511-356120-4724-6910-2-46-8-9

Q: 2. Use the elimination 2 -3 2 1 -3 2 131 method to evaluate the following determinant. 2 1 -1 -4 23

A: we have to find determinant.

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: Compute the determinant of 5 -3 - -2 -3 B = 1 3 -2 -1 -6 4 2523

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Q: Compute the following determinant. 4 6 -6 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: 2-compute the determinant of the matrix if 31 -1 A= 2 1 1 -2 4.

A: Given: A=-1032151-24

Q: :what is the determinant of the following matrix 3 0 0 107 1 0 V2 2 6

A: We have to find the determinant of the matrix 30010710226.

Q: Let A be a 3 x 3 matrix with determinant equal to 2. 2 -4 If the adjoint of A is equal to 12 -4 8…

A: To find out the A-1.

Q: Compute the determinant of A by any method where:

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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: 5 0 -7 2 - 6 0 0 2 8 4 -7 3 - 8 6 0 4 - 4 0 0 - 1 4

A: The Determinant is, (- 384)   The detailed solution is as follows below::

Q: Question 3 Prove the identity without evaluating the determinant (Using properties). a1 b1 + tai…

A: Let us start with RHS, RHS=a1a2a3b1b2b3c1c2c3 We do column operations on RHS to obtain the matrix on…

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

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: 3. Prove that |B| = -|A| and identify what property of determinants. -4 1 4 -1 Let A- and B =5 -1 2…

A: To be proved - |B|=-|A| To be mentioned - what property this behavior shows

Q: 2. Compute the following determinants using the permutation symbol. Verify your answer. 3. 0. a. 1 4…

A: Given :-  The Determinant of a matrix : A  =  32014-2-143

Q: (1 point) If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A…

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Q: Suppose we wish to compute the determinant of 7-3 0 A--2 1 -5 1 by cofactor expansion on row 1. What…

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Q: 2.3 Find the determinant of the adjoint of the matrix [8] ? = ( 3 2 −1 1 6 3 2 −4 0 )

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Q: a) It is the determinant created by placing the constants on the right side of the system instead…

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Q: Use 2 methods in evaluating the determinant. 9 -6 -5| 1.) -1 7 2 4 6m8

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Q: Compute the determinants of a. -3 4 4

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Q: 2 -3 3 1 4. Compute the determinant of A via reduction to triangular form. -1 -3

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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: [a b CT 3g 3h 3i Let A = d Lg h f and B 2d 2e 2f e а — 2d b - 2e – 2f C - If determinant of A is…

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Q: Us the fact that |cA| = c" |A| to evaluate the determinant A |-10

A: Introduction: The determinant can be thought of as a function with a square matrix as its input and…

Q: Determine the Determinants of mat A * 1 -2 3 mat A = | 7 8. 1 -3 -9 -10]

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Q: Evaluate the determinant. 1 1 12 12 6. -31/6 1/3 1. 1/3 5.

A: The given determinant,1313512-16

Q: 4. Find the determinant by expanding 3 01 1 1 2 2 -1 3 0 (a) on the first row (b) on the second row…

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Q: 7.0 4 -1 8.0 |4 7 3 -2 2 8 -3 5 -5 2 -1 0 -2 2.

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Q: Find the values of λ for which the determinant is zero.

A: Consider the provided matrix, λ200λ+1201λ Find the value of λ for which the determinant is zero.…