2. Use any method to evaluate the determinant of the given matrix. 1 0 0 0 1 0 0510 A = B = -2 8 3 0 1 2 0 3 0 0 0 0 4

Q: 3. Find the determinant (-1) (1) (e) (-1) (2) (j + 1) (1) (2j) of the matrix below. (1) (ej²π) (-2)…

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Q: 2. Consider the matrix 3 -2 A = 10 -3 -2 1 The determinant and inverse of the matrix A are given by:…

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Q: Given matrix A = [ 4 3 3                                 3 4 3                                 3 3…

A: Given matrix is, A=433343334 The objective is to find the determinant A290+I-1 Now, the determinant…

Q: 2. Let A be the matrix 0 4 5. Suppose that B is a 3 x 3 matrix with det B = 2 (you are 0 0 6 not…

A: Given              A=123045006

Q: Compute the determinant of the following elementary matrix. 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 =…

A:

Q: 3. Find the ranks of the following matrices using determinants: -1 0 1 2 1 2 3 4 -1 2 1 1 1 3 0 -1 2…

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Q: 3. Calculate the determinant of the matrix A using cofactor expansion. -1 3 40 10-32 A = 2 0 1 0 -5…

A: As per given by the question, calculate the determinant of matrix by using cofactor expansion. The…

Q: [1 0 3 1 0 2 1 Compute the determinant of A, where A= 2 -2 1 4 | 2 0 1

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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: (5 1 2 2 2 Given that A = ).B = (- :), find and C = 7 3 ЗА + 2B - С 1 1 iven the matrix, A = (2 1 -1…

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Q: Find the determinant of the following matrix [1 2 4 0 2 4 -1 0 0 -3 4 0 0 0 2 -3 -2 1 0 0 0 0 3 1 1…

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Q: Find the determinant of the matrix 0 1 0 10 0 0 0 1 A undefined B -1 D) 1

A: use the formula for computing determinant.

Q: Given that "a" is some nonzero constant, which of the following matrices has a non-zero determinant?…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 1 0 0 6k 1 0 0 0 1

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Q: Find the determinant of the following matrix by cofactor expansion. [ 1 0 0 2     0 0 2 0     0 2…

A: topic - determinant

Q: A 3 x 3 matrix M is given as (x 1 x-1 M 16. =2 1 1 x zero, then A 2x2 - 3x - 1 = 0 B 2x2 + 3x + 1 =…

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Q: Let x, y, z ER be such that the matrix 4 9. 3 4 E M3x3 (R) z -2 -1 has determinant equal to 4.…

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Q: 1. Determine whether or not the following matrices are invertible by calculating the determinant. -8…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 1 0 0 O 6k 0 0 1

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Q: 3. (a) Find the determinant of the matrix A below. 1 0 -1 0 0 1 1 0 -1 A =

A: The determinant value of the matrix abcpqrmno is aqo-nr-bpo-mr+cpn-qm when expanded about the first…

Q: 3. (a) Find the determinant of the matrix A below. '1 0 -1 A =0 0 1 10 -1

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: Solve for the value of determinants A of the given Matrix. [1 2 4 5 6 5 2 9 A 3 9 7 3 [4 6 7 2]

A:

Q: 3. Solve for the determinants of the following matrices. 12 6 2| B=3 - 4| 1 2 0 3 0 1 8 5 5 4 2 3 A-…

A: A=235-1Find the matrix determinant according to formula:deta  b c  d  =…

Q: 3. Solve for the determinants of the following matrices. 1 2 0 3 |2 6 2| 0 1 8 5 A= B=3 -1 3 -2 5 4…

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Q: Compute the determinant of the following elementary matrix 0 1 0 100 0 0 1

A: We use the expansion of the determinant along its rows to find the determinant of the given…

Q: Find the determinant of the elementary matrix. (Assume k 0.) 0 0 0 5k 0 1 0 1

A: 10005k0001

Q: A is a 3 x 3 matrix with det(A) = -2. What is the determinant of A-1 AT? Here AT is the transpose of…

A: Given; AT = A So, A-1AT = A-1A = Identity Matrix

Q: Find the determinant of the matrix below: 1 2 3 41 0 b 0 1 Lo a 2 3 0 4]

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Q: Find the determinant of the following matrix: 1. 4 21 2 1 6 2 41 -1 D = 0. 0.

A: here all 3 elements in column 1 and row 4 is zero then we will expand the determinant according to…

Q: Compute the determinant of the following elementary matrix. 10 0 0 1 d 0 0 1 1 00 0 1 d (Simplify…

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Q: Find the determinant of the elementary matrix. (Assume k + 0.) 10 0 5k 1 0 0 0 1

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Q: 3. 4. Consider the matrix A = -1 2 1 3 1. Find the determinant det(A – Al). Your answer should be a…

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Q: 2. Compute the determinant of the following matrix [1 0 0 31 0 2 1 0 0 1 2 0 3 0 0 1] A = 3. Compute…

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Q: 4. Calculate the determinant 1 2 1 15 5 -3 4 of the matrix below. 1-2 1 -1 1 2 3 -3 -1 2 -1 3 3 1 2…

A: Let A=11-213-12-1121-313-3-12152-1-121-3-12313431-6-3-2

Q: If X, Z are 3 x 3 matrices, det(X) = 3 and det(Z) = -15 what is '1 0 -3 the determinant of 0 1 0 xz.…

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Q: If A is a 3 x 3 matrix and det(A) = -2 what is the determinant of (5A) A. 250 В. 1 250 С. 1 250 D.…

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Q: 2. Consider the following matrix: -2 1 3 A = 5 3 1 -2 -1 (a) Calculate the determinant of A. (b)…

A: The given matrix is: A=-2134531-2-1

Q: 5 2 0 0 0 1 4 3 Find the determinant of matrix A = 0 0 2 6 0 0 3 4 Lo o 0 0 -21 2 3 1 2

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Q: Compute the determinant of the following elementary matrix. 0 0 1 0 10 100 0 0 1 0 1 0 = (Simplify…

A: To find  The determinant of the given matrix.

Q: Let a2 аз A = | b1 b2 bz C1 C2 C3 Suppose that det(A) = 5. Find the determinant of the following…

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Q: Consider the Matrix  B = 0 1 2 1 2 −5 6 −4 3 Calculate the determinant det(B)

A: Given that, B=01212-56-43

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

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Q: Use the fact that |cA| = c^|A| to evaluate the determinant of the n × n matrix. 12 3 27 A = 15 9 18…

A: To evaluate the determinant of the matrix A, by using the fact cA=cnA.A=123271591824621

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: 3. Solve for the determinants of the following matrices. 1 2 0 1 0 3 |2 2| |2 3 8 5 A= B= 3 -1 3 15…

A: Topic:- Matrix algebra

Q: 1. Choose three different non-zero integer values for the empty boxes and find the determinant of…

A: Let we assume three different non zero integers are 1,2 and 3

Q: 1. Find the determinant of the given matrix. 1 0 4 -6 2 5 3 -1 2 3 2 1 -2 31 det A

A: Given :A=104-62503-123521-23

Q: Find the determinant of the elementary matrix. (Assumek + 0.) 1 0 0 6k 1 0 0 0 1

A: Here is the solution:

Q: 3. Solve for the determinant of the following matrix. 1 2 3 3 2 1 4 423 14 1 4 1 3 2

A: To solve the determinant of the matrix.

Q: Solve for the value of determinants A of the given Matrix. [1 2 4 5 6 5 2 9 A 3 9 7 3 [4 6 7 2.

A:

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.