n this activity, you will create cryptograms by encoding two messages using matrix multiplication. You must use a unique matrix to encode each cryptogram. For both messages, use this table of corresponding numbers and letters. _(space) 0 I 9 R 18 A 1 J 10 S 19 B 2 K 11 T 20 C 3 L 12 U 21 D 4 M 13 V 22 E 5 N 14 W 23 F 6 O 15 X 24 G 7 P 16 Y 25 H 8 Q 17 Z 26   Encode the message “take a right” using the matrix: 1 2 4 1

Q: Suppose that matrix A has dimension 2x2 and that matrix B has dimension 2x5. Decide whether the…

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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: 165 -0.31 |-165 -0.173 -0,517 Y EO -165 %3D

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Q: Convince yourself that matrix addition is commutative and associative. Then explain.

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Q: [4 -2] Let A be the matrix 1 Compute A50 1

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Q: Count the number of operations involved in multiplying two n x n matrices.

A: Since n x n matrices using the standard matrix multiplication algorithm. Say you have two square…

Q: 1. For each of the following matrices: (a) Find the eigenvalues of A (b) For each eigenvalue A of A,…

A: A=3102 Finding the eigen value  A-λI=0⇒3-λ102-λ=0⇒λ-3λ-2=0⇒λ=2,3 Finding the eigen value for λ=2…

Q: Given the matrix find A³. Write A³ as input your answer below: a11 a12 = a21 = 922 = = -[-3 0 A = A³…

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Q: 0.4 0.3 0.3 P =| 0.4 0.6 1 Note: Express your answers as decimal fractions rounded to 4 decimal…

A: Given matrix is P=0.40.30.30.40.60100. 1  We have to find the two-step transition matrix.…

Q: [1 1 -1] 1 0 Jsing the matrix B 1 encode the message: ATTACK NOW! 1 1 2.

A: We can encode the message using a matrix by considering the encoding matrix, message matrix, and…

Q: Please list how to tell when a matrix has 0 solutions when in reduced row echelon form. E.g rules,…

A: For a system of equations, when the LHS value is 0 for all unknowns and the RHS is non zero, this…

Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Explain an example of elimination matrices.

A: Let us consider the matrix A=0231212-1052012-1. Now we will find its row echelon form.

Q: Explain why the number of columns in matrix A mustequal the number of rows in matrix B when finding…

A: Consider the provided information, The number of columns in matrix A must equal the number of rows…

Q: Solve with matrices. 5x−3y=18 and 2x+7y=−1 Indicate each matrix with the vertical bar (|) symbol…

A: Given system of equation  5x-3y=18  2x+7y=-1we solve by matrix

Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: -6x + 39y9z = -12 2x - 13y + 3z = 4

A: We have to determine the rank of the matrix.

Q: 1

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Q: Find the augmented matrix of the linear system. Зx, + 2х2 - X3 = 1 + X3 = 0 5x3 = 0 X1 -X1 + 2x2 3 1…

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Q: Use matrices to solve the system.

A: Given: The system of linear equations are, 5x+0y+2z=1 0x+y-3z=2   2x+y+0z=3 The given system of…

Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: Solve using augmented matrices. 2x, + 3x2 = 11 X1 - X2 = - 2 Select the correct choice below and, if…

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Q: Find the sum of matrix AxB and matrix C. ((AxB)+C)

A: In this question we have to perform the following operation on the given matrices.