Question
If $A=$, find $\left(A^{\top}\right)^{\top}$.
✓
Answer
$A=\left[\begin{array}{ccc}7 & 3 & 1 \\ -2 & -4 & 1 \\ 5 & 9 & 1\end{array}\right]$
$\therefore \quad A^{\mathrm{T}}=\left[\begin{array}{ccc}7 & -2 & 5 \\ 3 & -4 & 9 \\ 1 & 1 & 1\end{array}\right]$
$\therefore \quad\left(A^{\mathrm{T}}\right)^{\mathrm{T}}=\left[\begin{array}{ccc}7 & 3 & 1 \\ -2 & -4 & 1 \\ 5 & 9 & 1\end{array}\right]$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Classify the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew- symmetric matrix :
→$\left[\begin{array}{ccc}3 & -2 & 4 \\ 0 & 0 & -5 \\ 0 & 0 & 0\end{array}\right]$
Find the range of the following data.
Find the equation of a circle with centre at origin and radius 3.
Find value of $x$ if
$
\begin{aligned}
& \left|\begin{array}{lrr}
x & -1 & 2 \\
2 x & 1 & -3 \\
3 & -4 & 5
\end{array}\right|=-10 \end{aligned}$
→$
\begin{aligned}
& \left|\begin{array}{lrr}
x & -1 & 2 \\
2 x & 1 & -3 \\
3 & -4 & 5
\end{array}\right|=-10 \end{aligned}$
Find the equation of the line: having slope 5 and containing point A(-1, 2).
Show that the matrix $\left[\begin{array}{ccc}x+y & y+z & z+x \\ 1 & 1 & 1 \\ z & x & y\end{array}\right]$ is a singular matrix.
→Find the x and y-intercepts of the following lines:
→$\frac{3 x}{2}+\frac{2 y}{3}=1$
A line passes through points A(xi, y0 and B(h, k). If the slope of the line is m, then show that k – y1 = m (h – x1).
Find if $\begin{aligned} &\left[\begin{array}{c}\sin \theta \\ \cos \theta \\ \theta\end{array}\right]\left[\begin{array}{lll}\sin \theta & \cos \theta & \theta\end{array}\right]=[17] \end{aligned}$
→Write each of the following equations in ax + by + c = 0 form :
→$\frac{x}{2}+\frac{y}{4}=1$