homogeneous set of linear equations

Here, unlike the inhomogeneous case, the numbers on the right-hand sides of the equations are all zero. In matrix notation, this set of equations can be written Ax=0, where the unknowns form a column vector x. Thus A is the m × n matrix [aij], and

There is always the trivial solution x = 0; in fact, the solutions form a vector space. If m = n, so that A is square then the set of equations has non‐trivial solutions if and only if det A = 0. If m < n, there will necessarily be non-trivial solutions.

• statistic
• statistical equilibrium
• statistical mechanics
• statistical model
• statistical tables
• statistics
• steady
• Steinitz exchange lemma
• stem-and-leaf plot
• step function
• steradian
• stereographic projection
• Stevin, Simon
• Stewart, Ian
• stiffness
• Stirling number of the first kind
• Stirling number of the second kind
• Stirling's formula
• stochastic differential equation
• stochastic matrix
• stochastic process
• stochastic variable
• Stokes, Sir George Gabriel
• Stokes' Theorem
• Stokes' Theorem