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: (a) An n x n matrix B is a square root of a matrix A if B² = A. Show that the 2 x 2 identity matrix…

A: Given B is a square root of a matrix A

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

A:

Q: MATRIX A: 65119 -3 -4 3 4 -7 1 MATRIX B: 5 -4 0 -11 15 1 3 5 18 4 MATRIX C: -17 5 -4 -5 18 6 4 3 8…

A:

Q: give an example of a matric whose inverse is the same matrix.

A: To find: an example of a matrix whose inverse is the same matrix.

Q: Define Positive Definite Matrices.

A:

Q: Let A, B be a square matrices that are both row-equivalent to each other. Then AB and B^2 are…

A:

Q: What is the Triangular matrix?

A: What is the Triangular matrix?

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

A: Given problem:- Explain Zero matrix

Q: Define Equality of matrices?

A:

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…

Q: Solve by the fundamental matrix method, 3 r2(1)

A:

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: MATRIX A: 4 -3 5 -11 9 8 -5 6 7 1 MATRIX B: -11 9 10 -5 3 MATRIX C: 0 4 -82 -48 -5 0 -2 0 0 0 -9 15…

A:

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: Give two examples of a matrix which is its own inverse (that is, where A^-1 = A)

A:

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: 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…

Q: Define Matrix Inverse?

A: The inverse of matrix A with order 2×2 can be obtained by elementary row operation on a new matrix…

Q: matrix and solv

A:

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: An orthogonal matrix is orthogonally diagonalizable. True False

A:

Q: I just need to know how to solve part b of the problem with the given equation. I tried, but I could…

A:

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

A:

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: State True or False: The matrix multiplication is distributive over matrix addition. True False

A: Topic = Matrices TRUE

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

A:

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

A:

Q: Find all 2 by 2 matrices that satisfy AA^t=O

A: Since it is given, AAT=0  multiply by A-1 from the left A-1AAT=A-10 AT=0  which implies A is not…

Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

Q: If a 6 x 6 matrix contains 19 zeros, show that there are 4 zeros which are all in distinct rows and…

A: A 6x6 matrix has 36 entries. Given if a 6x6 matrix contains 19 zeros, then to show that there are 4…

Q: What is the Matrix multiplication?

A: Matrix multiplication is the multiplication of two matrices to produce a new matrices. For…