A triangle ABC is given. The coordinates of A,B,C are given as A(3,4) B(6,4) C(4,8). find reflected position of triangle. Suppose the matrix for reflection * is [1,0,0,-1,0,0,1,0,0] B A' B' Option 3 Option 2 O Option 1

A triangle ABC is given. The coordinates of A,B,C are given as A(3,4) B(6,4) C(4,8). find reflected position of triangle. Suppose the matrix for reflection * is [1,0,0,-1,0,0,1,0,0] B A' B' Option 3 Option 2 O Option 1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Define the matrices: T = [3 2; 0 -8; -4 3]; A = [diag(-1:2:3) T; -6 4 3 2 1]. Perform the following operations on the matrix A: (1)extract a vector consisting of the second and third elements of the third row (2)find the minimum of the second column (3)find the maximum of the third row %3D (4)compute the sum of the second column (5)extract the submatrix consisting of the first and second rows and all columns (6)extract the submatrix consisting of the first and third rows and the 3rd, 4th and 5th columns (7)compute the total sum of the 1st and 2nd rows (8)add 3 to all elements of the 2nd and 3rd columns
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läs 5 Find the SUM for mean of the matrix * ? F F= 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 sum(mean (F)) O sum (sum F) O mean(mean(F)) O Jalbo läl li 3.
3-5 6. Evaluate the determinant for the following matrix: 1 O A.8 O B.-2 O C.5 OD.-4 F
Q.No.2: a) Design an adjacency Matrix of the alphabets of your full name(USAMA ZAFAR). In accordance with the following conditions: • If your name has repeated characters (sg, character E, 2 times) then you will consider only 1 time. • If your Name contains both G and S, then there will be an edge between them and one additional edge from W to each if W is also in your name. • If N is the alphabet in your name, it will have an edge to A and S if it available in your name. • If P is available then it will have an edge with L if it is available. • If there is a blank space in full Name then it will be represented by “_", and it must have an edge with all alphabets. (Note: Place on in 1 for Edge and 0 for No Edge) b) Sketch an undirected graph of the above designed adjacency matrix.
Type in Latex **Problem**. Let $$A = \begin{bmatrix} .5 & .2 & .3 \\ .3 & .8 & .3 \\ .2 & 0 & .4 \end{bmatrix}.$$ This matrix is an example of a **stochastic matrix**: its column sums are all equal to 1. The vectors $$\mathbf{v}_1 = \begin{bmatrix} .3 \\ .6 \\ .1 \end{bmatrix}, \mathbf{v}_2 = \begin{bmatrix} 1 \\ -3 \\ 2 \end{bmatrix}, \mathbf{v}_3 = \begin{bmatrix} -1 \\ 0 \\ 1\end{bmatrix}$$ are all eigenvectors of $A$. * Compute $\left[\begin{array}{rrr} 1 & 1 & 1 \end{array}\right]\cdot\mathbf{x}_0$ and deduce that $c_1 = 1$.* Finally, let $\mathbf{x}_k = A^k \mathbf{x}_0$. Show that $\mathbf{x}_k \longrightarrow \mathbf{v}_1$ as $k$ goes to infinity. (The vector $\mathbf{v}_1$ is called a **steady-state vector** for $A.$) **Solution**. To prove that $c_1 = 1$, we first left-multiply both sides of the above equation by $[1 \, 1\, 1]$ and then simplify both sides:$$\begin{aligned}[1 \, 1\, 1]\mathbf{x}_0 &= [1 \, 1\, 1](c_1\mathbf{v}_1 +…
The following formulas shows how to calculate the (1,2) element and the (3,3) element of AB if A is a 4x2 matrix, and B is a 2x3 matrix. AB is A*B in the formulas. (AB)12 =a1,br,2 = a1,1 b1,2 + a1,2b2,2 (AB)3,3 =a3,b,3 = a3,1b1,3 + a3,262,3 r=1 A numeric example for the matrix multiplication is like that: 1 x 3+0 x 2 +2 × 1 1×1+0x 1+2 x 0 ] [-1 × 3 +3 x 2+ 1 ×1 -1×1+3× 1+1 x 0] %3D 3 1 Be careful that the number of columns in first matrix is equal the number of rows in second matrix Write a C program that reads two matrices (A and B) dimensions and their elements and computes the product of those matrices (A * B). Input: First line shows the dimensions of first matrix. Then the matrix elements are provided. After reading first matrix elements, second matrix dimensions will be provided. Then elements of second matrix will be read. Output: First line shows the dimension of the product matrix. Then the elements are displayed. Sample Output: Sample Input: 23 102 -1 3 1 32 31 2 1 51 4 2
Type of work: Individual work You are given an nxn matrix. Find if it has a visual 'envelope' pattern. First input is n, remaining numbers are the binary matrix content. Result should be 1 or 0 (envelope or not, respectively). By envelope, we mean, boundary, diagonal and anti-diagonal are set to 1, others are set to 0. You should use at most 6 loops (utilize functions), otherwise there may be grade reductions. Your solution should work for any n; it should be generalizable. So, use malloc to allocate multi-dimensional array. If the input is 11111 11011 10101 11011 11111 the result should be 1 If the input is 5 10101 11011 10101 11010 10111 the result should be 0 (boundaries are not set to 1). 1 0 0 0 Below are the examples of diagonal and anti-diagonal of a matrix. 0 1 0 0 1 1 1 0 0 0 1 1
42. Determine whether the statement are TRUE or FALSE. Write TRUE if the Statement is True and False otherwise
Suppose we have three points in a two dimensional space: (3,1), (2,1), and (7,7). We want to perform PCA on these points, so we construct a 2-by-2 matrix whose eigenvectors are the directions that best represent these three points. Construct this matrix, as outlined in the PCA algorithm discussed in class, and identify, in the list below, one of its elements. O a) 8 O b) 9 c) 24 d) 18
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