Encryption: Let K be the 2 3 2 x 2 matrix Using the same conventions as in the lecture/homework, i.e. space = 0, A = 1, B = 2, etc, use the matrix K to encode the phrase "AUGUSTA GA'

Q: All the diagonal elements of a skew-symmetric matrix is: * 1 2 Any Integer

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Q: If (AB)" = and A = find the matrix B. %3D

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Q: -31 A= .2 -1

A: Given:                  A=4−32−1

Q: matrix multiplication is valid f

A: The matrix multiplication depends on their dimension. the dimension property of the matrix is The…

Q: What i and j must satisfy if a_ij is on the main diagonal? above the main diagonal? below the main…

A: 1) If aij is on the main diagonal, then i must be equal to j. If aij is above the main diagonal,…

Q: End-$151235page-2 Consider the 4 points in R : P = (-2,0), P2 = (-1,0), P3 = (0,1), P = (2, 1). Fill…

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Q: a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why identification is…

A: We have to find: a. order of matrix b. a32 and a23 when A=ai j And matrix is given as A=4-75-68-1…

Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Calculate the matrix P, the matrix D, det(P), and the matrix P! Is the matrix A2 diagonalizable?…

A: Solution:-

Q: A = What matrix defines T1 by multiplication

A: Given,       A=10-31

Q: a) Calculate the inverse matrix: using the Gauss-Jordan method. Display all calculation steps! b)…

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Q: 3. Diagonalize the matrix A = 1 -3 3 3 3 -5 -3 3 1 if possible.

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Q: Apply the column mix operation to the matrix S Enter your answer as a 2 x 2 matrix with hexadecimal…

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Q: Find the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

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Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 3 -2 1…

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Q: How do you solve the matrixes using Gauss- Jordan?

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Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 0 4 9 6…

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Q: -31 A: 2 -1 .

A: We have to solve given problem:

Q: 3 Is the matrix a linear combination of the matri- and o o1? Justify your answer. ces

A: A matrix A is said to be expresses as a linear combination of two matrices B and C, if and only if…

Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: Diagonalize the given matrix if possible: A = [1 2 0 -1

A: Our Aim is to diagonalize the matrix A=120-1

Q: 2 -3 0 A = 5 2 1 -1 1

A: A-1=1|A|(adj. A)=1|A|A11A21A31A12A22A32A13A23A33 where Aij is the cofactor of aij.

Q: Types of matrix?

A: the main types of matrices are: Square Matrix Symmetric Matrix Triangular Matrix Diagonal Matrix…

Q: Construct an example of an 4×5 matrix with rank 1:

A: We need to find a matrix with rank 1.

Q: Find the size of the matrix. Determine if it is 9 6 3 1 39 6 1 9

A: Count the number of rows and columns

Q: 4) Given the matrix A= (! ), find all matrices B such that AB=BA. Check partic ular matrix B. your…

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Q: Let A be an mtimes×n matrix and let B be an ntimes×p matrix. If the first row of A consists only of​…

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Q: Construct a 2 X 2 symmetric matrix A with A [2] = -9 and A a12 If A = a21 a22 then the value of a11…

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Q: What is the possible operation to reduce matrix A to an identity matrix using elementary row…

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Q: (a) Find the matrix A so that AB=C, where а, а, а, B= b, b, b, & C= b, b, b, a, az az (2 rows are…

A: Given B=a1a2a3b1b2b3c1c2c3 now using row operation R1↔R3 ~c1c2c3b1b2b3a1a2a3

Q: Identify the elementary operation done in the original matrix to come up with the new row matrix.…

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Q: True or False The identity matrix has properties similar tothose of the real number 1.

A: We have to say that the given statement is true or false: The identity matrix has properties similar…

Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: Construct an example of an 4×3 matrix with rank 1: You can resize a matrix (when appropriate) by…

A: Rank of Matrix: A n×m matrix has rank k , if k is the  maximum  number of its linearly independent…

Q: Create a matrix A with the given characteristics. (There are many correct answers.) Dimension: 3 x…

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Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 8 -10 8…

A: Given: 88-10-1-8-50

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 0 7 9 2…

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Q: Find an example of a 2 x 2 matrix A such that A? + I2, A3 + I2, and A6 = I2. Explain how you know,…

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Q: 3. (30 points) Diagonalize the matrix A = 5 0 1 -1 05 0 0 0 0 4-3 0 -2 0-3 if possible.

A: 5000050000-30000-3

Q: A. The resulting matrix is (Simplify your answer.)

A: We need to add the two 2x2 matrix by adding corresponding elements

Q: Determine the order of the matrix. 5 1 4 What is the order of the matrix? X

A: We have to find the order of a given matrix

Q: Give an example of a nonzero 3 x 3 diagonal matrix A. A =

A: Diagonal Matrix: In linear algebra, a diagonal matrix is a matrix in which the entries outside the…

Q: State Symmetric Matrices ?

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Q: 4. Describe all matrices row equivalent to the matrix: [B]

A: Since you have posted a multiple question according to guildlines I will solve first(Q4)   question…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.