5. >). Use determinants to calculate the following. a) The area of the following polygon. (-3, 1) (1,5) (5,6) (1, 0) b) The volume of the parallelepiped formed with one vertex at origin, and adjacent vertices: (1, 1, 1), (0, 5, 1), and (1, 1, 0). (4, 1)

Q: Make example about  matrices and determinants method

A: Solution:- Matrices are the ordered rectangular array of numbers, which are used to express linear…

Q: Explain the concept of Matrix Square Roots?

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Q: (а) 2x + 3y + z = -1 Зх + Зу + г 1 %3D 2х + 4y + 2 -2 %D

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Q: Define Positive Definite Matrices.

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Q: The 3 × 3 matrix B satisfies the equation B^3 = −B. Show that B cannot have an inverse

A: We proved that, the matrix B cannot have an inverse if it satisfies the equation…

Q: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: What is zero matrix, explain each entry of which is zero?

A: Given problem:- Explain Zero matrix

Q: Prove that a 2×2 matrix transforms any straight line into a second straight line and points on the…

A: Let T be a 2x2 matrix given as T = abcd.Let the line be given by y = mx+c.Any point on the line can…

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Q: пр Select a square matrix (3 x 3 or larger) from anywhere in our textbook, outside of chapter 7.…

A: Let the given matrix be  A=100010001 The given matrix is a 3×3 identity matrix To find  (1)…

Q: How can I prove that a 4x4 matrix is invertible. Also how can I write that matrix as a product of…

A: The objective of this question is to determine if a given 4x4 matrix is invertible and if so, to…

Q: 3. Assume that A is an n × n matrix and A-¹ exists. Prove that (a) (A¹)−¹ – (A−¹)t. (b) (A²)−¹ –…

A: If A is an invertible matrix then AA-1=I (AB)T=BTAT At means interchange rows and columns in a…

Q: Define properties of matrix , Explain each of the analogous to a familiar algebraic property of the…

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Q: Show that every diagonalizable matrix has a square root.

A: Square Root Matrix of a Diagonalizable Matrix is Diagonalizable. A is diagonalizable. Therefore,…

Q: A diagonal matrix is a square matrix that if rotated to give the original matrix 1- right 2-Error

A: a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term…

Q: What is the algorithm for solving algebraic matrices?

A:

Q: For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the…

A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

Q: "Every 2x2 matrix that can be carried to the 2x2 identity matrix through two reduction is…

A: Every 2x2 matrix that can be carried out to the identity matrix through two reduction is…

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Q: True or False The identity matrix has properties similar tothose of the real number 1.

A: We have to say that the given statement is true or false: The identity matrix has properties similar…

Q: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

Q: An orthogonal matrix is orthogonally diagonalizable. True False

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Q: [1 2) 13 · X = 2-

A:

Q: Prove that a 2×2 matrix transforms any straight line into a second straight line and points on the…

A: Let the 2×2 matrix be A=a11a12a21a22 which is the matrix of a linear transformation T:ℝ2→ℝ2. Let the…

Q: Illustrate Diagonal matrix?

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Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

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Q: Could a 4 by 4 matrix A be invertible if every row contains the numbers 0, 1, 2, 3 in some order?…

A: We know that a 4×4 matrix has four rows and four columns. A matrix is said to be invertible if the…

Q: Please compute the next matrix

A: The solution is provided for A. We shall solve B and C.

Q: The equation A² - 2A + I = O implies that ---Select--- Need Help? Read It ✓. It follows that…

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Q: Solve the following: 3 1 a. Find the inverse matrix (A") if the matrix A = -1 -4 3

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Q: [1] Describe the geometry of the solution set for the matrix equation Ax 2 [3]

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Q: Rotate the quadratic function 5x^2 + 3y^2 + 2z^2 + 4xz = 14 to its principal axes and express this…

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