-2 5 Find the characteristic equation of the matrix 3 5 C. 22 – 32 – 25 = 0|| D. 2? +72 - 25 = 0 A. - 32 +5 = 0 B. 2 +72+5 = 0

Q: 2 5 7. For the matrix A = 3 1 4 what is the element in the third row 1 1. and first column of the…

A: Concept:

Q: [1 1] For the matrix A 3 2 31 The value of trace(A)+ a23- det(A) is: O21 I31

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Q: [1 47 3 Let, A = 3 be a 4x4 matrix. Find det (A) and det (2A"A). 2 L4 3 1- O 0 o 2N. O502 2.

A: Remember the property of matrix that |A|=|AT| then simply find the determinant and do the…

Q: Find the elementary matrix E such that EB = A where 3 1 2 3 1 A = |2 -1 -1 and B = |4 -2 -2 7 -8 4 7…

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Q: -6 2 Show that A = and B = 9 -3 are similar matrices by finding an invertible -3 -1 -15 matrix P…

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Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT- 412) 5 3 -1 (a) -5 (b) 1…

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Q: -3 1 2 -4 1 2 - 9 1 4 Given that A and B 41 -4 -18 find two elementary matrices C and D so -30 1 3 1…

A: We are given:A= -3120-412-301                      B= -91441-4-18-301Now , elementary matrix are…

Q: 5. Find all values of 2 for which the matrix 2-3 0 5 0 2+2 0 S 0 is singular. 215

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Q: 4 20 The matrix A = |0 40 has eigenvalues : 0 04) Select one: а. 3, 4, -4 b. 2, 2, -2 Ос.1, 2, 4 O…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: 35.3. Consider a species in which both no individuals live to three years old and only one-year olds…

A: Please find step by step solution below:

Q: -23 16 24 Let A = -6 5 . Find an invertible matrix P and a diagonal matrix D such that D = P-'AP.…

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Q: 7 4 For the invertible matrix B the equation B³ – 15B + 41½ = 0 is satisfied. If B? then 12 7 which…

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Q: -4 8. find the inyerse of the matrix ら -4 12 by Gaussian Jordan eliminaton methed

A: Given, a-48-412b6-c21100010001 Now take, R1→R14,R2→R24,R3→R33 Then, a4-12-13b42-c37140001400013

Q: 2 2 21) (₁² -18343 3. The matrix Q = (a) positive definite. (b) negative definite. (c) semi positive…

A: We use the following result: (1) A block diagonal matrix is semi positive definite if and only if…

Q: 3. Find the matrix E-l where 1 0 01 E = 1 -4 0 1 ......

A: Given that: E=100010-401

Q: 2. If the product of matrices cos 0 A = cos O sin 0 cos e sin 0 sin² 0 cos' o B = cos o sin cos o…

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Q: |1/2 1. Find sequence of elementary matrices whose product is A = 2 -3 3/15 2. Solve the given SLE…

A: 1. find a sequence of elementary matrices whose product is (given in the figure below.) 2. Solve…

Q: -5 2 -2 Show that A E 3 -2 -2 and B 1 -4 are similar matrices by finding an invertible matrix P…

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Q: 6. Find a matrix X such that the equation AX = B holds, where A = 4 and 3. В - 1 8

A: see below the answer

Q: 3. The matrix Q [(-²/2 -2²) (²₁2 --8383 1) G1₁ -1 a (a) positive definite. (b) negative definite.…

A: Given :Q=2-23-1-22113111-1115

Q: 3 -9 -3 2 1 8 3 4 -2 3 5 8 6 Suppose E is an elementary matrix such that 3 -3 10 4 8 3 EA = 4 5 6.…

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Q: 8 Q3/ Find the Eigen vectors of the matrix A = -3

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Q: 5 Find the spectrum of the matrix A = 1 Enter the answers in descending X(A) = { Ex: 5 } order.

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Q: 6. Which of the following is the elementary matrix that multiplies the third row of a four-by-four…

A: We find which of the given is the elementary matrix that multiplies the third row of a four-by-four…

Q: -10 1 Let A = Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I,. Is it…

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Q: -4 9. 15 Show that A = -1 1 and B = 3 are similar matrices by finding an invertible matrix P…

A: A matrix A is similar to another matrix B when their determinant is the same, their characteristic…

Q: -4 Find the change-of-coordinates matrix from B to C. - 10 Let B- (b, (b.b2) and C- (c,,©2} be bases…

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Q: [1/2 A = 2 -3 1. Find sequence of elementary matrices whose product is 3/15 2. Solve the given SLE…

A: Given matrix  A=12-32315 As per our guideline we supposed to answer only first question kindly…

Q: 7. Let A, B and X be square matrices of the same size. Using the algebraic properties of matrices to…

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Q: 2 0 Find the spectrum of the matrix A = 2 X(A) = { Ex: 5 :}

A: Consider the matrix  2002

Q: Find the elementary matrix E such that EB = A where 4 4 1 4 4 1 A = |4 -3 -2 and B = | 20 -15 -10 7…

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Q: 4 0 has eigenvector : 0 -2 The matrix A = Select one: a. (-2, 2) O b. (2, 0) c. (2, -2) O d. (2, 2)

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Q: -3 6. ). Find all a so that the matrix A= -1 1 2 is positive 1 defined:

A: We use the following result to find the alphas. Result: An n*n matrix A is positive definite iff all…

Q: 07 1 1 1 2 Find the characteristic equation of the matrix 0 2

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Q: [13] Find a 2×2 matrix A other than the identity matrix for which A (r ר 75 7) -1 [][] 11 -1 1 1 -1

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Q: 1 -5 5 Q11. Show that the matrix A = -1 9 -7 satisfy its own characteristic equation |-1 13 -11 and…

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Q: Find the elementary matrix E such that EC = A where 3 3 -3 1 3 3 1 A = -1 and C = 2 -3 | 8 -7 2 23…

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Q: Given the following matrix: -1 -GD -1 0 4 3 A = 2 1 -1 Complete the following: d) is the matrix A…

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Q: -5 Q5. What are the Eigen values of the matrix A = -1,2 = -6 A =-1,2 = 6 2 = 1,2 = -6 A = 1,2 = 6 A…

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Q: 4 20 The matrix A =| 0 40| has eigenvalues : 0 0 4 Select one: О а. 3,4, -4 O b. 2, 2, -2 О с. 1, 2,…

A: The eigen values of the matrix can be calculated using the formula . The formula will give a…

Q: [1/2 A = 2 -3 3/15 1. Find sequence of elementary matrices whose product is 2. Solve the given SLE…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

Q: Question5 : Let -1 -1 A = 1 0 15 15 -2 (5a) Find a 3 x 3 matrix P and a diagonal matrix D=|0 A2 0 0…

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Q: The Matrix A = -529 A o -6 -3 -1 4 has an ečng endalup ) == Find an ocrgonunluo tor thas oingoraalus

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Q: (1 3 3 Give a matrix N =|3 1 3 3 3 1) a) Find N? and N b) Show that N - 3N? = 24N +281 . Hence,…

A: Given- N=133313331 To Find- (a) The value of N2 and N3. And,                (b) Show that…

Q: -13 8 40 Let A 12 -3 -30 Find an invertible matrix P and a diagonal matrix D such that D =P'AP. -8 4…

A: A transformation is called linearly independent when the nullity of the transformation is 0.…

Q: , and C = [-1 1]. Let A = L B = -2 3 Then 2BC + AT = 3 -1] O the above matrix O None of the…

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Q: -25 Find the characteristic equation of the matrix 3 5 C. 22 -32-25 = 0| A. 22-32+5=0 B. 22 +72+5=D0…

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Q: -4 1 -2 -2 7 14 Show that A= -14 5 -14 | and B = 11 18 are similar matrices by finding an invertible…

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Q: 9. If M = 2e -Ze-is Is a fundamental matrix for X' = AX, then the exponential matrix et is 2e-…

A: Column of the Fundamental matrix are the solution of the homogeneous differential equation.

Q: 3. Let A= 21 and let I be the 2-by-2 identity matrix. Put the entries ofA-31 in the matrix below 7.…

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