A matrix can be expressed as the product of a lower triangular matrix and an upper triangular matrix.

A matrix can be expressed as the sum of a lower triangular matrix and an upper triangular matrix.

A matrix can be expressed as the product of a lower triangular matrix and a diagonal matrix.

A matrix can be expressed as the sum of a lower triangular matrix and a diagonal matrix.

It is more efficient than other methods, such as Gaussian elimination.

It is more accurate than other methods, such as Gaussian elimination.

It is easier to implement than other methods, such as Gaussian elimination.

All of the above.

(\begin{bmatrix} 1 & 0 & 0 \ 4 & 1 & 0 \ 7 & 2 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 3 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix})

(\begin{bmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 3 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 0 & 0 \ 4 & 1 & 0 \ 7 & 2 & 1 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 7 & 2 & 1 \end{bmatrix})

(x = 1, y = 2, z = 3)

(x = 2, y = 3, z = 4)

(x = 3, y = 4, z = 5)

(x = 4, y = 5, z = 6)

(O(n^2))

(O(n^3))

(O(n^4))

(O(n^5))

A singular matrix

A square matrix

A rectangular matrix

A diagonal matrix

The product of the diagonal elements of the lower triangular matrix

The product of the diagonal elements of the upper triangular matrix

The product of the diagonal elements of both the lower and upper triangular matrices

None of the above

The product of the inverse of the lower triangular matrix and the inverse of the upper triangular matrix

The product of the inverse of the lower triangular matrix and the transpose of the upper triangular matrix

The product of the transpose of the lower triangular matrix and the inverse of the upper triangular matrix

The product of the transpose of the lower triangular matrix and the transpose of the upper triangular matrix

(\begin{bmatrix} 2 & 0 & 0 \ 2 & 1 & 0 \ 3 & 1 & 1 \end{bmatrix}\begin{bmatrix} 1 & 1 & 1 \ 0 & 1 & 1 \ 0 & 0 & 1 \end{bmatrix})

(\begin{bmatrix} 2 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 1 & 1 \ 2 & 3 & 3 \ 3 & 5 & 5 \end{bmatrix})

(\begin{bmatrix} 1 & 1 & 1 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 2 & 1 & 1 \ 2 & 3 & 3 \ 3 & 5 & 5 \end{bmatrix})

(\begin{bmatrix} 1 & 1 & 1 \ 2 & 3 & 3 \ 3 & 5 & 5 \end{bmatrix}\begin{bmatrix} 2 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix})

(x = 1, y = 2, z = 3)

(x = 2, y = 3, z = 4)

(x = 3, y = 4, z = 5)

(x = 4, y = 5, z = 6)

(\begin{bmatrix} 1 & 0 & 0 \ 2 & 1 & 0 \ 3 & -1 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 3 \ 0 & 1 & -2 \ 0 & 0 & 1 \end{bmatrix})

(\begin{bmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 3 \ 2 & 5 & 4 \ 3 & 1 & 2 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 3 \ 0 & 1 & -2 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 0 & 0 \ 2 & 1 & 0 \ 3 & -1 & 1 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 3 \ 2 & 5 & 4 \ 3 & 1 & 2 \end{bmatrix}\begin{bmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix})

(x = 1, y = 2, z = 3)

(x = 2, y = 3, z = 4)

(x = 3, y = 4, z = 5)

(x = 4, y = 5, z = 6)

(\begin{bmatrix} 3 & 0 & 0 \ 2 & 1 & 0 \ 1 & -1 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 1 \ 0 & 1 & 1 \ 0 & 0 & 1 \end{bmatrix})

(\begin{bmatrix} 3 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 1 & 2 & 1 \ 2 & 3 & 2 \ 1 & 2 & 3 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 1 \ 0 & 1 & 1 \ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} 3 & 2 & 1 \ 2 & 3 & 2 \ 1 & 2 & 3 \end{bmatrix})

(\begin{bmatrix} 1 & 2 & 1 \ 2 & 3 & 2 \ 1 & 2 & 3 \end{bmatrix}\begin{bmatrix} 3 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{bmatrix})

(x = 1, y = 2, z = 3)

(x = 2, y = 3, z = 4)

(x = 3, y = 4, z = 5)

(x = 4, y = 5, z = 6)