(a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4 (b) Using properties of determinants, prove without open the determinant that: 1 a b+c\ 1 b c+a=0 ( 1 cb+a (

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…

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A: (a)To find the cross product of i×i+j+k using determinant. Solution: Finding cross product of given…

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

A: Given that We know that determinant of a matrix is equal to zero if any two rows or two columns are…

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Q: Oppgåve 6. a) Find the determinant b) Find the determinant c) Find the determinant BITI 8 a 1 a +1 1…

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Q: x1= (0,4e-t,2e-t)  x2= (  5e5t , -3e5t,4e5t)  x3= (e-6t,0,e-6t) all written vertically A) Write out…

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Q: If A = (3) and B = (g), determine a. A + B b. AB c. BA

A: If A=7231 and B=4658, then to determine  (a) A+B (b) AB (C) BA Note: Since the student has posted…

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

A: Determinate

Q: Using only elementary row or elementary column operations (do not expand the determinant) verify the…

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Q: a b c [#] e f Lg h i If det(A) = 3, compute the determinant of B. Let A = d B= -2 02 O-3 03 h i g 2a…

A: Given that, A=abcdefghi    and,  detA=3 B=ghi2a+d2b+e2c+fabc We have to find det(B) We have to use…

Q: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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Q: Let A be a 5 x 5 matrix with determinant 20. B is a matrix obtained by performing the row operation…

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Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

Q: Let-[:] and v-[³] u= v= Compute the area of the parallelogram determined by u, v, u + v, and 0, and…

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Q: For the given matrix: 2 -1 -1 2 -1 0 – 1 0 -1 2 -1 a) Compute the determinant. b) Calculate the…

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Q: Alsan tet A = and B = 15 [4 101 l7 15J 3 (a) [ Let c 3. Find cA. (b) ts] Find A + B (c) Find the |A|…

A: use property of matrix.

Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

A: Given: Use the following strategies to evaluate the required determinant and show your step-by-step…

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

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