$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

angle between two vectors

rebelmaths

Given vectors $\boldsymbol{a,\;b}$, find $\boldsymbol{a\times b}$

rebelmaths

Vector addition, multiplication by a scalar, magnitude, dot product, Perpendicular vectors, angle between vectors, cross product.

rebel

rebelmaths

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Given two ordered sets of vectors $S,\;T$ in $\mathbb{R^5}$ find the reduced echelon form of the matrices given by $S$ and $T$ and hence determine whether or not they span the same subspace.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Gitt vektorene  $\boldsymbol{A,\;B}$, finn vinkelen mellom dem.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

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Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

No description given

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.