Kai Kerr

2023-03-13

Can we say that a zero matrix is invertible?

Jazlene Martin

Beginner2023-03-14Added 4 answers

Explanation of the right response:

Invertible Matrix:

Any square matrix $A$ of order n × n is called invertible matrix if there exists another $n\times n$ square matrix $B$

such that, $AB=BA=I$,

where $I$ is an identity matrix of order $n\times n$.

Hence, an invertible matrix cannot contain a zero matrix.

Invertible Matrix:

Any square matrix $A$ of order n × n is called invertible matrix if there exists another $n\times n$ square matrix $B$

such that, $AB=BA=I$,

where $I$ is an identity matrix of order $n\times n$.

Hence, an invertible matrix cannot contain a zero matrix.

An object moving in the xy-plane is acted on by a conservative force described by the potential energy function

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?

$A=\left[\begin{array}{ccccc}1& 5& -4& -3& 1\\ 0& 1& -2& 1& 0\\ 0& 0& 0& 0& 0\end{array}\right]$T must be a linear transformation, we assume. Can u find the T standard matrix.$T:{\mathbb{R}}^{2}\to {\mathbb{R}}^{4},T\left({e}_{1}\right)=(3,1,3,1)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}T\left({e}_{2}\right)=(-5,2,0,0),\text{}where\text{}{e}_{1}=(1,0)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{e}_{2}=(0,1)$

?Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

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