Q: 求矩阵转置 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]

\left[\begin{array}{ll}{\frac{\sqrt{2}}{2}}&{e^{4}}\\{2}&{8}\end{array}\right]

Q: 求行梯形形式 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]

\left[\begin{array}{ll}{\frac{\sqrt{2}}{2}}&{2}\\{0}&{8-2\sqrt{2}\times e^{4}}\end{array}\right]

Q: 求简化的行梯形形式 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]

\left[\begin{array}{ll}{1}&{0}\\{0}&{1}\end{array}\right]

Question 1

求该行列式的值 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

4\sqrt{2}-2e^{4}

Question 2

求逆矩阵 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

\left[\begin{array}{ll}{-\frac{8\sqrt{2}+4e^{4}}{e^{8}-8}}&{\frac{2\sqrt{2}+e^{4}}{e^{8}-8}}\{\frac{2\sqrt{2} imes e^{4}+e^{8}}{2e^{8}-16}}&{-\frac{4+\sqrt{2} imes e^{4}}{4e^{8}-32}}\end{array} ight]

Question 3

求矩阵转置 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

\left[\begin{array}{ll}{\frac{\sqrt{2}}{2}}&{e^{4}}\{2}&{8}\end{array} ight]

Question 4

求特征值 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

\lambda_{1}=\frac{\sqrt{2}+16-\sqrt{258-32\sqrt{2}+32e^{4}}}{4},\lambda_{2}=\frac{\sqrt{2}+16+\sqrt{258-32\sqrt{2}+32e^{4}}}{4}

Question 5

求行梯形形式 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

\left[\begin{array}{ll}{\frac{\sqrt{2}}{2}}&{2}\{0}&{8-2\sqrt{2} imes e^{4}}\end{array} ight]

Question 6

求简化的行梯形形式 \left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25ight)}\{e^4}&  {8}\end{array}ight]

Accepted Answer

\left[\begin{array}{ll}{1}&{0}\{0}&{1}\end{array} ight]

[beginarrayl sin45^{circ} & log_5(25)e^4& 8endarray]

矩阵

Frequently Asked Questions

求该行列式的值 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)

求逆矩阵 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)

求矩阵转置 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)

求特征值 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)

求行梯形形式 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)

求简化的行梯形形式 \(\left[\begin{array}{l} {\sin45^{\circ}} & {\log_5\left(25\right)}\\{e^4}& {8}\end{array}\right]\)