All Tasks
Matrices multiplication 0
Let $A=\begin{bmatrix} 4&-2&5\\2&6&0\\3&3&3\end{bmatrix}$ and $B=\begin{bmatrix} 1&0&0\\0&2&-3\\6&-6&2\end{bmatrix}$
be real matrices $M_{3\times 3}$.
The matrix $AB$ is:
# Operation
Training
13
Matrix operations 0
Consider the matrices
$$A=\begin{bmatrix}
2&-1\\7&-3\\2&-3
\end{bmatrix},\quad B=\begin{bmatrix}
3&1\\-9&3\\0&0
\end{bmatrix}$$
and $$C=\begin{bmatrix}
1&0&6\\2& -1&0
\end{bmatrix}$$
Compute: $ A - 4 B + C^T$
# Operation
Learning
13
Triangle of the gradient
The picture shows you different triangles of the gradient for the graph of a proportional function. Complete the sentence.
# Proportionality
Reasoning
8
Identification of a matrix
In the table you will find information about group E of the UEFA Champions League 20/21, after the qualifying phase. Considering the data in the table, the matrix, $M$, representative of the results obtained by the 4 teams is given by the elements:
# Matrices
Modeling
13
Matrix multiplication
Let $A$ be a $2\times 3$ matrix with elements position $a_{ij}$ given by $a_{ij}=i^2- 2j$ and $B$ be a $3\times 4$ matrix with elements position $b_{ij}$ given by $b_{ij}=(-1)^j(2i-j)$.
Let $D=AB$.
Find the dimension of $D$ and compute the values $d_{ij}$, for each matrix entry's.
# Operation
Training
13
Invertible matrices
Consider the matices $A$ and $B$:
$A=\begin{bmatrix}
2 & -4 \\
-1 & 2 \\
\end{bmatrix}$
$B=\begin{bmatrix}
2 & -4 \\
-1 & -2 \\
\end{bmatrix}$.
Which of the following is true?
# Inverse
# Determinate
Training
13