# Questions tagged [linear-algebra]

Questions about Mathematica functionality related to manipulating vector spaces and linear mappings between such spaces. This includes determination of matrix properties, matrix transformations, decompositions, and factoring.

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### Problem in getting the full rank of a matrix

I have 17 equations I am trying to put them in the matrix form. I am trying to understand why the matrix is not full rank. ...
21 views

### Simple Question: Expand[(a + b)^2] in electrical communication research [closed]

Expand[(a + b)^2] I have two terms here, term a ...
70 views

### Simple Question: How to simplify what is inside the Sin function like below?

I have this code of Mathematica (1/(2 (fj - fk) π)) Cos[(fj - fk) π T + (fj - fk) π (T + δt)] Sin[(fj - fk) π T - (fj - fk) π (T + δt)] There are a few ...
42 views

### Solve the system using elimination What are a, b, and c in the quadratic equation, ax^2+bx+c=y given the [closed]

Solve the system using elimination What are a, b, and c in the quadratic equation, ax^2+bx+c=y given the points: (2,17), (-2,9), and (1,6), please solve the question using steps e.g. (step 1, step 2)?
78 views

### Solving equation involving max-row-sum matrix norm?

I'm trying to solve for $\|A(a)\|_\infty=1$ where $A$ is a positive definite matrix parameterized by scalar $a$ and $\|.\|_\infty$ is max-row-sum norm of the matrix. For the problem below, I know the ...
39 views

### Solving System of Equations

I want to solve a huge system of equations which is generated using the Finite-Difference-Method. The Problem with that system is that it is badly conditioned and so ...
48 views

196 views

### Simplifying away imaginary part

I'm solving the following eigensystem, and I get result which looks complex-valued. I expect the result to have 0 imaginary part, can anyone see a way to simplify it away? ...
119 views

### SemidefiniteOptimization for operator norms: Stuck at the edge of dual feasibility

Can someone give a workaround and/or explanation why Problem 1/Problem 2 fail to solve through SemidefiniteOptimization? Problem 3 works. (I'm using 12.1.0 on Mac). ...
81 views

### Mathematica is saying both inequality are false [closed]

I'm trying to ask Mathematica to compare 2 different values in inequality but it keeps saying "False". I put the code I'm running below. Thanks in Advance for any hint on what is problematic ...
38 views

### What is the inverse Jacobian of a 4D model? [closed]

For a Jacobian Matrix where the elements are represented as J11 J12 J13 J14 J21 J22 J23 J24 J31 J32 J33 J34 J41 J42 J43 J44 what is the inverse jacobian of this Matrix?
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### How to join the lhs and rhs of the rows of a matrix equation and solve for one of the variables?

The matrix equation m.{x,y}==b results in an awkward disjointed looking presentation but correct construction of a system of linear equations ...
61 views

### How to define an MatrixReduce function that can reduce the symbol matrix to the simplest type

The RowReduce function of MMA can not effectively reduce the matrix with parameters to the row simplest type. ...