Well, what HAVE you done? You mention "unknowns in a matrix" so presumably you know how to set this up as a matrix equation. With A as the matrix of coefficients, X as the column matrix <x, y, z> and 0 as the column matrix <0, 0, 0>, your equation is AX= 0. The unique solution will be [itex]X= A^{-1}0= 0[/itex] as long as A has an inverse.Martinuk said:Homework Statement
the following 3 equations are given, show that alpha(a) has two non trival solutions, then solve for the whole thing:
Homework Equations
ax - 3y + ( 1+a) z = 0
2x + y - az = 0
(a+2)x - 2y + az = 0
i think i may be missing something but i can't seem to even get started on this problem,
thanks
A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. It is commonly used in mathematics and computer science to represent and manipulate data.
Unknowns in a matrix refer to the elements or values in the matrix that are not given or known. These values are typically represented by variables, such as x, y, or z, and need to be solved for in order to complete the matrix.
To solve for unknowns in a matrix, you can use various methods such as Gaussian elimination, Cramer's rule, or matrix inversion. These methods involve performing mathematical operations on the given matrix in order to isolate and solve for the unknown values.
Solving for unknowns in a matrix is useful in many fields, including engineering, physics, economics, and computer science. It allows for the analysis and manipulation of complex systems and data, and can be used to find solutions to real-world problems.
Some tips for solving for unknowns in a matrix include carefully organizing the matrix, using appropriate mathematical operations, and checking your work for accuracy. It can also be helpful to practice with simpler examples before tackling more complex matrices.