Classify the following matrices: a) b) d) [ -2 6 9 32 -40 -206 63 242 -123 -636 194 -216-1095 335 413 1408 -734-3724 1139 76 ·[3 c) 77 264 430 1476 -1 -3 1 -9-18 6 -9-30 9 -32 -96 29 -38 -204 62 -127 -672 204 -206 -1101 334 -706 -3768 1143 -17 5 27 -8 -44 11 82 -24 -71 23 130 -39 -243 78 454 -136 de acordo a las cimiento oncionce. according to the following options: 1) Diagonalizable 2) Not diagonalizable: the characteristic polynomial has a complex root. 3) Non-diagonalizable: all eigenvalues are real, but there is one where the algebraic and geometric multiplicities are different.

Q: Multiply matrix [1 2 3] by [5 4 2 030

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Q: list 2 matrices that commute with all n x n matrices

A: Scalar matrix is the only matrix which commute with all matrices   Let A=kI is a scalar matrix ,…

Q: (ii,if i = j A =, if i +j if i # j ((i B = + 1)',if i = j j+1'if i # j

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Q: Find inverse matrix of the following matrices [ 1234;0 5 7 9;-2 4 - 8 5; 10 6 6 7]

A: We have to find the inverse Matrix .

Q: Solve the systems in Exercises 11-14 11. x₂ + 4x3 = -4 = -2 6 x₁ + 3x2 + 3x3 3x₁+7x₂ + 5x3 =

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Q: Determine whether the given set S is a subspace of the vector space V. OA. V R4, and S is the set of…

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Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: Consider the two matrices: 2 4 1 -5 (²6) -- (-²3 2²) = Compute A + 3B. The result is equal to: A =…

A: We have been given two matrices A=24-60       and   B=1-5-32   We have to compute the value of…

Q: Given A [1 3 -2 -6 1] 0 0-5-20 1 1 3 -1 -2 1 I 1 find the solution sets to the homogeneous system Ax…

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Q: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: The vectors are linearly independent if and only if k # 13 = -5 -16 -42 " = -1 -3 −12+ k_ =

A: The vectors u, v, w are linearly independent if and only if matrix formed by these vectors is non…

Q: -81 45 8) Multiply using Matrices: (2x³ + 5x-1) * (x²-x²+x-2) 1.

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Q: compute the indicated matrices D +BC

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Q: What Geometric shapes are obtained from 2x2 matrices?

A: Important points: Geometric shape of all square matrices is 'square'. Order of a general matrix:   n…

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: Perform the following matrix operation: 188 -3 4 -4] 8 + -9 -9 9

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Q: 3. Consider the vector space P3 of polynomial functions of degree at most 3. Let H = {ao + a₁t +…

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Q: Add the following matrices. 3 -4 1 1 2 -4 -2 |+|-4 1 -1 -2 -4 -5 3 -5 2

A: We have to add

Q: Which of the following matrix multiplications would be possible to do? Select one: a. a 5 x 6 matrix…

A: In this problem we have to find in which cases matrix multiplication is possible. NOTE:-We know that…

Q: Determine 3B  if the matrix is    1        5                                                   -4…

A: the matrix B is 15-48 we have to find the value of 3B.   as we know that if we have a matrix A as…

Q: 11 4 -1 0 1 -1 2 4 5 6 3 4 0 -4 3 6 3 -7 5 1 -1 6 7 3 -3 -1 -5 2

A:

Q: (d) ] Find A' A (e) ] Is AB = BA? %3D Find the inverse of B

A: Given the matrices :

Q: Consider the matrix A = 1 5 4 -2 (a) Determine a basis of Col A. (b) Determine a basis of Row A. 2…

A: Introduction: Row Space and Column Space of a Matrix Let A be an m by n matrix. The space spanned by…

Q: erations are required to form the product AB? Please explain clearly.

A: Solution is attached below.

Q: 2) BA= 3 2 201 L2-3] 3]

A: To solve the matrix multiplication.

Q: compute the indicated matrices ( I 2 -D)2

A: Matrices: D=0-3-21I2=1001    (I2-D)2 =(1001-0-3-21)2 =13202