a) Define a 2x2 singular matrix A, which has no zero entries. b) Define a 4x4 matrix B such that: The matrix B is in reduced row echelon form Rank of the matrix B is 2 (Rank(B)=2) The matrix B has 6 or more non-zero entries. c) Define a 3x3 diagonal matrix C, whose determinant is 30

Q: By computing the determinant of a suitable 2 x 2 matrix, find the area of the parallelogram with…

A: As we know that; The expression for the area of the parallelogram with adjacent sides a→ & b→;…

Q: Compute the determinant of A by by transforming the matrix into a triangular matrix. A = 3. -1 -3 4…

A:

Q: Show that the matrix is not diagonalizable.

A: Solve for det(A - λI) = 0

Q: Suppose that a linear system has as many equations as unknowns, that all of its coefficients and…

A: Given linear system has as many equations as unknown. Matrix form the system is  AX = B, so, A is a…

Q: Create a 3x3 matrix with determinant 1

A: Given that the matrix should be of order 3.

Q: The determinant of a 2 by 2 matrix A is equal to the area of the parallelogram with two adjacent…

A: Given the 2 by 2 matrix A. We have to find the determinant of a  matrix A is equal to the area of…

Q: If the determinant of the square matrix A is not zero, then the system (a) Ax = b has a unique…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let A 2x2 matrix. A satisfies with tr (A² ) = 5 and tr ( A) = 3. Find determinant of A.

A: Use property of eigen value

Q: Use a determinant to decide whether the matrix is singular or nonsingular.

A: We know that a matrix is singular if and only if the determinant of A is zero.

Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

A: .

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: Given- A is 20x20 invertible matrix whose determinant 2. Matrix B is obtained from A by…

Q: What is the maximum number of zeros that a 4 x 4 matrix can have without having a zero determinant?…

A:

Q: Show that the matrix equation has no solution.

A:

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A:

Q: What is the determinant of a 1x1 matrix?

A:

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given, A=234560700

Q: Let A be a known nxn matrix, b be a known n-dimensional vector and z be an unknown vector defined by…

A: Given A is n×n b is a known n-dimensional vector and x be unknown vector defined by solution of Ax=b…

Q: Write down 5 distinct square matrices of order 2*2 and 3*3 and find out its determinant

A: There is no specific formula , please go through the solution.

Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: If a 4 x 4 matrix A with rows v1, v2, V3, and v4 has determinant det A = 4, %3D 4v1 + 5v2 7v1 + 9v2…

A: See the detailed solution below.

Q: By computing the determinant of a suitable 2 x 2 matrix, find the area of the parallelogram with…

A:

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

A: Given: A=-1032151-24

Q: Use a determinant to decide whether the matrix is singular or nonsingular. 3 1 2 2 4 4 - 3 3 1 1…

A:

Q: Let and Compute the area of the parallelogram determined by four points with position vectors u, v,…

A: This question is from matrix

Q: C2 2. y= c1x+

A:

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: Solution:-

Q: Find the determinant of a 10 x 10 matrix which has a 2 in each main diagonal entry and zeros…

A: Given matrix, 10 x 10 matrix which has a 2 in each main diagonal entry and zeros everywhere else.

Q: How is the determinant of a 2x2 matrix determined?

A: Our Aim is to determine the determinant of a 2×2 matrix.

Q: what is the determinant of an upper/lower triangular matrix?

A: This question is related to Linear Algebra. Here the determinant of upper/lower triangular matrix is…

Q: Consider a 2x2-dimensional matrix A for which A² = -A. a) What are all possible values of the…

A:

Q: The volume of a parallelepiped having A, B and C as edges can be obtained by finding the determinant…

A:

Q: If a matrix has two equal rows, then the determinant is: Zero

A: If a matrix has two equal rows, then the determinant is _________

Q: Use the concept of volume to explain why the determinant of a 3x3 matrix A is zero if and only if A…

A:

Q: (a) Compute the determinant of the matrix by expanding along the second row (b) Compute a row…

A: We have: A=21-250146251-24215 Part (1) Finding the determinant of the matrix by expanding along the…

Q: matrix

A: Here given that matrix is 1 cross 1  let matrix is A=[a] where a is any number

Q: Compute the determinant of 1 1 2 3 A = -1 -1 0 -1 -2 3 by using row operations to obtain upper…

A: Given, A=12100123-20-1-1300-1

Q: Can we use cofactor expansion in a 2 x 2 matrix? What is the determinant of a 1x 1 matrix?

A:

Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A: topic - determinant of a matrix

Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A:

Q: 1) a) Define a 2x2 singular matrix A, which has no zero entries. b) Define a 4x4 matrix B such that:…

A:

Q: Use a determinant to decide whether the matrix is singular or nonsingular. 1 3 4 2 2 4 3 3 1 1.…

A:

Q: What is the determinant of an elementary row replacement matrix? An elementary n xn row replacement…

A:

Q: Find the determinant of a 10 X10 matrix which has a 2 in each main diagonal entry and zeros…

A: The order of a matrix is 10×10 and it has 2 in each main diagonal entry and zeros everywhere else.

Q: Find the rank and determinant of the matrix.

A: Rank and determinant of a matrix

Q: a.) Can we use cofactor expansion in a 2 x 2 matrix? b.) What is the determinant of a 1x 1 matrix?

A:

Q: If B is a non singular 2x2 matrix and k is a non zero scalar. What is the determinant of B

A:

Q: Why is the determinant of the original matrix and the diagonalized matrix the same. Prove it.

A: Consider the provided question,

Q: Compute for Determinants of Matrix -3 mat C = 8. -5 5 5 5 -3

A: C=-33-18-5-755-3

Q: what is the relationship between the determinant of a matrix and its transpose? how does each…

A: Solution 1. The relationship between the determinanat of a matrix and its transpose

Q: Since it is, find the matrix P ^ -1 by using the adjoint matrix of the P matrix.

A: We are given that  We need to find the inverse of p-matrix

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.