1. Given the linear combination below, try to create a corresponding matrix representing it. Use coloumn matrix. 0 = 5x + 3y – %
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![USING GOOGLE COLAB
- Practice
1. Given the linear combination below, try to create a corresponding matrix representing it. Use coloumn matrix.
0 = 5x + 3y – z
2. Given the system of linear combinations below, try to encode it as a matrix. Also describe the matrix.
x1 + 2x2 + x3
A = { 4x2 – 3
10r3
3. Given the matrix below, express it as a linear combination in a markdown and LaTeX markdown.
x1 + 7x2 + 8x3
G = { 2x1 – 2x2 + 2x3
10r3
4. Given the matrix below, display the output as a LaTex markdown also express it as a system of linear combinations.
[] 1H = np.tril(G)
2H
array([[1, 0, 0],
[2, 2, 0),
[4, 6, 7]])
O 11 = np.triu(G)
2 I
array([[1, 7, 8],
[о, 2, 2],
[0, e, 7]])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12689848-cf80-4abb-8b49-f48d9a0f2a79%2F5726e6f7-9123-4f23-8e1a-2f6717fc0c52%2Fmpq2tk_processed.png&w=3840&q=75)
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- A is be a 4×3 matrix and B is a 3×2 matrix. Which of the following gives a 2×4 matrix as a result? Select one alternative: a. BT AT b. BT A c. B A d. A + BTCan you help me with a MATLAB code? I want to multiply a 3x3 matrix to every vector of a 3x101 matrix. Can you create some type of loop to help with that? For example, If I had A = [1 0 0; 0 2 0; 0 0 3]; and B = [1 2 3; 4 5 6; 7 8 9; 10 11 12; ...];. I would want to multiply matrix A to every row vector of B to get another matrix.Using Matlab answer this question : Create a 3x3 matrix after it makes a matrix that computes the inner products between rows and columns, using the * operator.confirm that a matrix times its inverse returns the identity matrix:
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- Considering you have a 100X100 Matrix in MATLAB, perform the following operations: Give the MATLAB code of the following.1.) Extract a 25-25 square matrix starting from the 22nd row and 37th column. What is the sum of all the elements? 2.) Get the sum of the product of the 3rd row and the 81st column. 3.) Multiply all the elements of the 81st column to all the elements of the 3rd row and get their sum.Given a square matrix of size ?×?�×� that only contains integers, compute the sum of the two diagonals. If the dimension of the square matrix is odd, make sure that you are not double-counting the value at the centre of the matrix. Figure 2: Sum of diagonals. Function specifications Arguments: matrix (numpy.ndarray) →→ input matrix to be used for computing the sum. Return: sum (int) →→ return the sum of the two diagonals. Expected outputs: matrix = np.array([[7, 0, 8], [6, 9, 1], [3, 8, 4]]) sum_of_diagonals(matrix)==31 matrix = np.array([[4, 1, 1, 1], [1, 3, 8, 0], [0, 8, 5, 7], [1, 6, 1, 3]]) sum_of_diagonals(matrix)==33You are to construct a 2D matrix of booleans of the given size. You should fill the matrix with false values. Then create a Random object initialized with the provided seed and fill the interior of the matrix row by row from left to right within each row. Do not place a new value in the first or last row, or the first or last column of the matrix as they may not contain an entity (and hence should remain false). You should use the nextBoolean method of the Random object to get each value. This will generate a matrix in which each value (other than on the edge) is equally likely to be true or false. Finally, print the matrix by printing a ’-’ character for each false and a ’#’ for each true. Include the outside rows and columns in the printing. Print a space after each ’-’ character or ’#’ character. Figure 1 shows a sample input and corresponding output. 6 8 7 (a) Input (6 rows, 8 columns, seed 7) - - - - - - - - - # # # - - - - - # # # # - # - - - - # # - # - - # - # - # # - - - - - -…
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