Solve the Matrix Equation [[7,-1],[3,5]]+x=[[4,5],[8,2]]

$[\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}] + x = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}]$

Subtract the matrix from both sides of the equation.

$[\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}] + X - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}] = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify both sides of the equation.

Simplify the left side of the equation.

Subtract the corresponding elements.

$[\begin{array}{c} 7 - 7 & - 1 - (- 1) \\ 3 - 3 & 5 - 5 \end{array}] + X = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 7 - 7 & - 1 - (- 1) \\ 3 - 3 & 5 - 5 \end{array}]$ .

Simplify $7 - 7$ .

$[\begin{array}{c} 0 & - 1 - (- 1) \\ 3 - 3 & 5 - 5 \end{array}] + X = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify $- 1 - (- 1)$ .

$[\begin{array}{c} 0 & 0 \\ 3 - 3 & 5 - 5 \end{array}] + X = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify $3 - 3$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 5 - 5 \end{array}] + X = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify $5 - 5$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} 4 & 5 \\ 8 & 2 \end{array}] - [\begin{array}{c} 7 & - 1 \\ 3 & 5 \end{array}]$

Simplify the right side of the equation.

Subtract the corresponding elements.

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} 4 - 7 & 5 - (- 1) \\ 8 - 3 & 2 - 5 \end{array}]$

Simplify each element of the matrix $[\begin{array}{c} 4 - 7 & 5 - (- 1) \\ 8 - 3 & 2 - 5 \end{array}]$ .

Simplify $4 - 7$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} - 3 & 5 - (- 1) \\ 8 - 3 & 2 - 5 \end{array}]$

Simplify $5 - (- 1)$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} - 3 & 6 \\ 8 - 3 & 2 - 5 \end{array}]$

Simplify $8 - 3$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} - 3 & 6 \\ 5 & 2 - 5 \end{array}]$

Simplify $2 - 5$ .

$[\begin{array}{c} 0 & 0 \\ 0 & 0 \end{array}] + X = [\begin{array}{c} - 3 & 6 \\ 5 & - 3 \end{array}]$

Adding the null matrix to any matrix is a matrix itself.

$X = [\begin{array}{c} - 3 & 6 \\ 5 & - 3 \end{array}]$

The matrix is in the most simplified form.

$X = [\begin{array}{c} - 3 & 6 \\ 5 & - 3 \end{array}]$

Solve the Matrix Equation [[7,-1],[3,5]]+x=[[4,5],[8,2]]

Related Questions

Support LCMGCF.com by disabling your adblocker.