ssrs data matrix

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m4 = Table[4, {4}, {4}]; z27 = ConstantArray[0, {2, 7}]; z32 = ConstantArray[0, {3, 2}]; z34 = ConstantArray[0, {3, 4}]; z45 = ConstantArray[0, {4, 5}]; top = ArrayFlatten[{{m2, z27}}]; middle = ArrayFlatten[{{z32, m3, z34}}]; bottom = ArrayFlatten[{{z45, m4}}]; ArrayFlatten[{{top}, {middle}, {bottom}}] //MatrixForm 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4

temp = CharacterRange["a", "y"]; m = Partition[temp, 5]; m // MatrixForm a f k p u c d e g h i j l m n o q r s t v w x y b

Mathematica offers a number of ways to solve systems of linear equations. Solve, discussed in 6, offers one alternative, but it is somewhat clumsy and inefficient for use on large systems. In this section we discuss a number of other procedures for solving systems of linear equations.

3.43. 3.44.

LinearSolve[a, b] produces vectors, x, such that a.x = b. LinearSolve[a] produces a LinearSolveFunction that can be used to solve a.x = b for different vectors b.

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Thus far, we have taken a brief look at MS Windows network services and protocols at the network, transport, and to a limited degree, the session layer. Now we are ready to move higher in the stack and probe the Server Message Block (SMB) protocol, which is where Samba lives and breathes (Figure 3.2). SMB is a session-, presentation-, and application-layer protocol that provides a means for remotely sharing files, printers, and various communication resources between networked computers. The SMB protocol was first defined in a joint Microsoft and Intel document titled Microsoft Networks/OpenNETFile Sharing Protocol in 1987. Early SMB implementations included MS LAN Manager in 1987 and OS/2 LAN Server in 1988. In 1992 SMB became an Open Group interoperability standard, "Protocols for X/Open PC Interworking: SMB, Version 2,

Here a is the matrix of coefficients of the unknowns, and b is the right-hand side of the linear system. If a is invertible, LinearSolve will produce a unique solution to the linear system. If a is singular, either no solution exists or there are an infinite number of solutions. If a system has a unique solution, Mathematica returns the solution. If no solution exists, Mathematica returns an error message.

Using the conventional principal values on Pages 44 and 45, evaluate: p ( f ) sin 1 x cos 1 x; 1 @ x @ 1 (a) sin 1 3=2 (b) tan 1 1 tan 1 1 p p (c) cot 1 1= 3 cot 1 1= 3 p (d) cosh 1 2 (e) e coth

EXAMPLE 15 The system 2 x + y + z = 7, x 4 y + 3 z = 2, 3 x + 2 y + 2 z = 13 has a unique solution.

The system 2 x + y + z = 7, x 4 y + 3 z = 2, 3 x 3 y + 4 z = 13 has no solution. 2 1 1 a1 = 1 4 3 ; 3 2 2 2 1 1 a2 = 1 4 3 ; 3 3 4 b ={7,2,13}; LinearSolve[a1, b] {1, 2, 3} LinearSolve[a2, b] LinearSolve nosol : Linear equation encountered that has no solution. LinearSolve[{{2, 1, 1}, {1, 4, 3}, {3, 3, 4}}, {{7}, {2}, {13}}]

If the system a.x = b has an infinite number of solutions, the treatment is a bit more complicated. In this case, Mathematica returns one solution, known as a particular solution. The full set of solutions is constructed by adding to the particular solution the set of all solutions of the corresponding homogeneous system, a.x = 0. The set of all vectors, x, such that a.x = 0, is called the null space of a and is easily determined by the command NullSpace.

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(g) (h) (i) ( j) (e)

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