Given that A is a 3 by 3 matrix and the det(A) = 4. We created a new matrix B from A by replacing Row 1 by Row1 +3 07 4 12

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

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Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

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Q: Suppose that matrix A has dimension 5•3 and that matrix B has dimension 3•5. Decide whether product…

A: Given: The matrix A has dimension 5×3 and that matrix B has dimension 3×5. To Find: To decide…

Q: For the matrix A = 4    5    8                               2     3    6…

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Q: 4 2 0 70 all oene tril(A, -1)+ eye(4). The third row of the matrix B is: Given the matrix A: 1 2 -1…

A: Let A = 1111111111111111 tril(A,-1) = 0000100011001110eye(4) = 1000010000100001

Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

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Q: ements. -4 16 | 20] 2 2 1 -4 2] -9 2 [1 -4 -34 -43 10슈 ↑ 1 1 1

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Q: Two matrices A and B and two numbers c and d are given. Compute the matrix CA A = CA + dB = 6 -4 9 4…

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Q: We call a matrix B a square root of A if B2 = A.

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Q: compute the indicated matrices A + 2D

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Q: 2. a) Let A = answer. [2]. Find the matrices A² and A³. What can be the matrix A"? Justify your -11

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Q: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: We changed the first nonzero entry beneath the pivot to a zero and found the following augmented…

A: Initial matrix is, -11145033901010

Q: 5. Diagonalize the following matrix. 3 B = -3 4 9

A: Let A = aijn×n be any n-rowed square matrix and λ is a scalar. The equation AX = λX is called the…

Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: ging %3D

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Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

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Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

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Q: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: If D = diag(2, -1, 0) and M is a 3 x 3 matrix, describe how the rows and/or columns of DM are…

A: Given thatdiag and M is 3×3 matrixWe have to describe how the rows and/or columns of DM related to…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

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Q: Express the matrix A-¹ as a product of elementary matrices using In= EkEk-1...E₁A. 100 220 313 A =

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: (6 :) b12 such that A and B commute, that is, A.B = B·A. (b21 (b11 10. For the matrix A = find a…

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