2. Use row/column operations and properties of determinants to show that (Do not expand using cofactors) 1 1 1 = (b - a)(c - a)(c – b) b a? b? 2

Q: 1 3 -1] 3 2 X = ,A = 5 2 6 4 -4 5 -3,E || 3 -4 1 1 2 [ 3 2 6 1

A: Given: To find the value of k by finding the determinants using a co-factors technique, then the…

Q: 1 3 - 1 E) Using properties of determinants, show that 2 3 8 - 3 = 0 21

A: To Prove:      13-128-3321-9=0

Q: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

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

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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: 1 3 Using properties of determinants, show that 2 -3 =0 8 3 21 139

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Q: 1 3 1 Using properties of determinants, show that 2 3 8 - 3 = 0 %3D 21 9

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Q: Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

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Q: 3. Calculate the determinant of the matrix A using cofactor expansion. 1 3 4 0 10-32 A = 2 0 1 0 0 1…

A: Do the expansion of this given matrix along the second column to obtain the determinant by using the…

Q: 2а 2b b - c 2b 2а а+c| %3D-2(а — b)?(а + b) а +b a+ b а

A: This is a determinant problem

Q: Let p = (-1, 2, 5) and q = (4,0, -3) . By using determinant notation for the points give cross…

A: Given- p=-1,2,5 and q= 4,0,3 To Check- The cross product of p×q is equal to -6i+17j-8k.

Q: 1. Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 – 3 1 - 2 2 3 -1 1 2…

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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: Use the method demonstrated in Example 5 to find the determinant of the matrix. 6 -8 0 -7 4 1 5 3.

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Q: 3. USE ROW -REDUCTION AND COFACTOR EXPANSION TO EVALUATE THE DETERMINANT: 4 2 = 141 4 -O U5 403

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Q: Use cofactor expansions to evaluate the determinant. Expand along the row or column that minimizes…

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Q: 1 3 -1 |2) Using properties of determinants, show that 2 3 8. - 3 = 0 21

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Q: 1.What is the definition of the cross product?2. How is the determinant of a 3 × 3 matrix used in…

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Q: |1 3 Using properties of determinants, show that 2 -1 - 3 =0 3 21 -9|

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Q: If A has the characteristic polynomial −x3+2x2−4x+3 then the determinant of A is 3. TRUE OR…

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Q: Use properties of determinants to show that the following is an equation of a line through the…

A: Consider the provided matrix, xy1x1y11x2y21=0 Use properties of determinants to show that the…

Q: Linear algebra

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Q: 1 be the n x n matrix with the following form: 1 1 1 1 1 .. 1 2 2 2 ... 1 2 3 3 3 ... A = 1 2 3 4 4…

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

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z + 5W – 4N = 21 5X + Y + 7Z -…

A: We have: 8X-3Y+Z+5W-4N=215X+Y+7Z-13W+15N=277X+3Y+4Z-18W-12N=3511X-7Y-Z+9W+15N=5015X+10Y-7Z+2W+8N=19…

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

A:

Q: 1 [1 0 1 6 9. -8 3 -7 0 JA → 1 0 E A → 1 E,E, A → 0 1 0 E3E,E, A =| 0 6 -3 1 0 9 0 1 0 0 1 0 8 E E,…

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Q: 1. Find determinant of the matrix using row or column operations and properties of the determinants…

A: We have  to find  determinant  without expand  it

Q: Evaluate the determinant of A by using elimination method. 20 3 2 5 1 2 4 3 0 1 2 A = 5 3 2 1

A: Given: A=2032512430125321 Applying R2→R2-52R1, R3→R3-32R1,  R4→R4-52R1 Then the matrix A reduces to…

Q: Using the properties of determinants, prove that : 1 1 1 = (a – b)(b - c)(c - a)(a + b + c) a' b' c'

A: The solution to the given question is explained below.

Q: 5. Use J the evaluate 9 5 matrix capabilities graphing the determinant: utility to -5 0 CH 3 6 3

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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: ах bx ах bx Vronskys determinatof functions , e, e хе хе

A: Vronsky's determinant: The Vronsky's determinant of a functions f1,f2,..., fn is given by,…

Q: Let A be a 3-by-3 matrix whose determinant is -5. Use properties of determinants to evaluate the…

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Q: Using the property of determinants, prove that |24 18 30| 1) 2 1 17 = 0 4 3

A: We need to prove that                         .

Q: Compute the determinant of the matrix A, below, by using row operations to transform the determinant…

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Q: 1. ( What is the determinant of the matrix A? where * r+1 r+2 A = y y+1 y+2 z z+1 2+ 2 (a) (r- y)(x-…

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Q: [1 1 1] The qr-factorization of the 3 x 3 matrix B is QR where R = 0 2 2 0 0 3 absolute value of the…

A: If A∈Rm×n has linearly independent columns then it can be factor as A=QRwhere'Q is m×n…

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: 4) The determinant (det A) = abc, in the cases when A is: a y |b a)A = , b) A = 0 c) A = 0 d) b& c а…

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Q: Use reduction to triangular form to evaluate the determinant of the given matrix. 1 A = 3 16 24 0-1…

A: The matrix is given as A=1163240-11. The aim is to find the determinant of the matrix by reducing to…

Q: Evaluate the determinant, using row or column operations whenever possible to simplify your work.

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Q: Can Cramer's rule be used to solve this.system of equations? 21 + 2x2 1 - T1 + 3x2 = -3 Yes No If…

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Q: [4 2 4 Q1\ Assume A x 0 6 [4 6 4] 1- Find value of x that made A symmetric matrix 2- Find cofactor…

A: Note the result related to matrix : Consider A is square matrix . If A is square matrix then   for…

Q: E. Compute for the determinant of the 4x4 matrix below using minors and cofactors. 3 2 2 2 2 1 1 1…

A: Given that: 0322020020110104

Q: 6. Using only elementary row or elementary column operations (without expanding the determinants)…

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Q: Using only the theorems on determinants and the row/column operations, show that: 0 0 0 0 5 0 0 0 2…

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Q: 2. Get the determinant 1 0 -1 2 2 36 1 4 4 5 0 1 • B= 1 Expand at row 2 (Methorl 3)

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Q: Explain why the statement is true, or give a counter-example: If we know that A is a square matrix…

A: Given that A is any square matrix and A=QR be its decomposition.