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 : [ c 5 4 -3 ]

Let A= [ c 5 4 -3 ] ∴ As matrix A has only one column. ∴ A is a column matrix.

Classify the following matrices as a row, a column, a square, a d…

Obtain the equation of the line: parallel to the Y-axis and making an intercept of 4 units on the X-axis.

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Find the co-ordinates of the point of intersection of lines $x+2 y=3$ and $2 x-y=1$.

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If $A=\left[\begin{array}{lll}1 & -1 & 2 \\ 0 & -1 & 3\end{array}\right], B=\left[\begin{array}{cc}-2 & 1 \\ 3 & -1 \\ 0 & 2\end{array}\right]$, show that matrix $\mathrm{AB}$ is non singular.

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Show that line $A B$ is perpendicular to line $\mathrm{BC}$, where $\mathrm{A}(1,2), \mathrm{B}(2,4)$ and $\mathrm{C}(0,5)$.

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Following data gives weights of 10 students (in kgs) in a certain school. Find the range of the data 70, 62, 38, 55, 43, 73, 36, 58, 65, 47

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If $A=\left[\begin{array}{ccc}4 & 3 & 2 \\ -1 & 2 & 0\end{array}\right], B=\left[\begin{array}{cc}1 & 2 \\ -1 & 0 \\ 1 & -2\end{array}\right]$, show that matrix $A B$ is non singular.

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If $A=\left[\begin{array}{cc}-3 & 2 \\ 2 & -4\end{array}\right], B=\left[\begin{array}{cc}1 & x \\ y & 0\end{array}\right]$ and $(A+B)(A-B)=A^2-B^2$, find $x$ and $y$.

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If $A=\left[\begin{array}{cc}4 & 8 \\ -2 & -4\end{array}\right]$, prove that $A^2=0$

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Evaluate : $\left|\begin{array}{ll}7 & 9 \\ -4 & 3\end{array}\right|$

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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}$

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Determinants and Matrices — Maths STD 11 Science — Question

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