إدخال مسألة...
الجبر الخطي الأمثلة
,
خطوة 1
Write as an augmented matrix for .
خطوة 2
Write as a linear system of equations.
خطوة 3
خطوة 3.1
Move variables to the left and constant terms to the right.
خطوة 3.1.1
أعِد ترتيب العوامل في .
خطوة 3.1.2
انقُل .
خطوة 3.2
Write the system as a matrix.
خطوة 3.3
أوجِد الصيغة الدرجية المختزلة صفيًا.
خطوة 3.3.1
Multiply each element of by to make the entry at a .
خطوة 3.3.1.1
Multiply each element of by to make the entry at a .
خطوة 3.3.1.2
بسّط .
خطوة 3.3.2
Perform the row operation to make the entry at a .
خطوة 3.3.2.1
Perform the row operation to make the entry at a .
خطوة 3.3.2.2
بسّط .
خطوة 3.3.3
Multiply each element of by to make the entry at a .
خطوة 3.3.3.1
Multiply each element of by to make the entry at a .
خطوة 3.3.3.2
بسّط .
خطوة 3.3.4
Perform the row operation to make the entry at a .
خطوة 3.3.4.1
Perform the row operation to make the entry at a .
خطوة 3.3.4.2
بسّط .
خطوة 3.4
Use the result matrix to declare the final solution to the system of equations.
خطوة 3.5
Write a solution vector by solving in terms of the free variables in each row.
خطوة 3.6
Write the solution as a linear combination of vectors.
خطوة 3.7
Write as a solution set.