Matrices Basics Quiz for 1st-year B

Non-singular matrix = Determinant is not equal to 0 Singular matrix = Determinant is equal to 0 Orthogonal matrix = Product of matrix and its transpose gives an identity matrix System of linear equations = Collection of one or more linear equations

$\begin{bmatrix} 8 & 1 \ 4 & 2 \end{bmatrix}$ = Determinant = 8 - 8 = 0 $\begin{bmatrix} -3 & 0 & -7 \ 4 & 7 & -4 \end{bmatrix}$ = Determinant ≠ 0 $\begin{bmatrix} -1 & 0 \ 0 & -1 \end{bmatrix}$ = Determinant = 1 $\begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix}$ = Determinant = 1

$ax + by = c$ = Representation of a straight line in the $xy$-plane System of linear equations = Collection of one or more equations involving linear terms $3x - 4y = 7$ = Representation of a straight line in the $xy$-plane $2x + 5y = 9$ = Representation of a straight line in the $xy$-plane

<p>Non-singular matrix = Matrix with a non-zero determinant Singular matrix = Matrix with a zero determinant Orthogonal matrix = Matrix such that the product of the matrix and its transpose gives the identity matrix System of linear equations = Collection of one or more linear equations</p> Signup and view all the answers

<p>$\begin{bmatrix} -3 &amp; 0 &amp; -7 \ 4 &amp; 7 &amp; -4 \end{bmatrix}$ = $\begin{bmatrix} -3 &amp; 4 \ 0 &amp; 7 \ -7 &amp; -4 \end{bmatrix}$ $\begin{bmatrix} -1 &amp; 0 \ 0 &amp; -1 \end{bmatrix}$ = $\begin{bmatrix} -1 &amp; 0 \ 0 &amp; -1 \end{bmatrix}$ $\begin{bmatrix} 8 &amp; 1 \ 4 &amp; 2 \end{bmatrix}$ = $\begin{bmatrix} 8 &amp; 4 \ 1 &amp; 2 \end{bmatrix}$ $\begin{bmatrix} 1 &amp; 0 \ 0 &amp; 1 \end{bmatrix}$ = $\begin{bmatrix} 1 &amp; 0 \ 0 &amp; 1 \end{bmatrix}$</p> Signup and view all the answers