LPA ECG1-Quiz 4 (Matrices)
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Question 1 of 10
1. Question
Soit \( A \) et \( B \) deux matrices appartenant à \( \mathcal{M}_{3,2}( \mathbb{R}) \).
Indiquer les affirmations exactes.
CorrectIncorrect -
Question 2 of 10
2. Question
\( \begin{pmatrix}
1 & 0 & 1\\
2 & -1 & 1
\end{pmatrix} \begin{pmatrix}
1 & -1 \\
0 & -2 \\
-1 & 1
\end{pmatrix} = \begin{pmatrix}
a & b \\
c & d
\end{pmatrix} \)Que valent \( a,b,c,d \) ?
-
\( a= \)
\( b= \)
\( c = \)
\( d= \)
CorrectIncorrect -
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Question 3 of 10
3. Question
\( \begin{pmatrix}
7 & -1 & 2\\
-5 & 0 & 1 \\
2 & 1 & 3
\end{pmatrix} – \begin{pmatrix}
2 & 1 &-1\\
1 & 0 & -1\\
-1 & 1 & -1
\end{pmatrix} = \begin{pmatrix}
a & b & c \\
d & e & f\\
g & h & i
\end{pmatrix} \)Que valent \( a,b,c,d,e,f,g,h,i \) ?
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\( a= \)
\( b= \)
\( c = \)
\( d= \)
\( e= \)
\( f= \)
\( g = \)
\( h= \)
\( i= \)
CorrectIncorrect -
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Question 4 of 10
4. Question
\(\begin{pmatrix}
2 \\ 0 \\ -1 \\ 1
\end{pmatrix} \begin{pmatrix}
2 & -1 & 1 & 3
\end{pmatrix} \)CorrectIncorrect -
Question 5 of 10
5. Question
\( \begin{pmatrix}
2 & -1 & 1 & 3
\end{pmatrix} \begin{pmatrix}
2 \\ 0 \\ -1 \\ 1
\end{pmatrix} = a \)-
\( a= \)
CorrectIncorrect -
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Question 6 of 10
6. Question
\(\begin{pmatrix}
2 \\ -1
\end{pmatrix} \begin{pmatrix}
-3 & -2
\end{pmatrix} = \begin{pmatrix}
a & b\\
c & d
\end{pmatrix} \)Que valent \( a,b,c,d \) ?
-
\( a= \)
\( b= \)
\( c = \)
\( d= \)
CorrectIncorrect -
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Question 7 of 10
7. Question
Si \( A = \begin{pmatrix}
3 & 1 &2\\
-1 & 1 & 3
\end{pmatrix} \) alors \( {}^t \! A = \begin{pmatrix}
a & b \\
c & d\\
e & f
\end{pmatrix} \)-
\( a= \)
\( b= \)
\( c = \)
\( d= \)
\( e = \)
\( f= \)
CorrectIncorrect -
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Question 8 of 10
8. Question
Si \( M = \begin{pmatrix}
a & b\\
c & d
\end{pmatrix} \) alors :CorrectIncorrect -
Question 9 of 10
9. Question
Si \( D = \begin{pmatrix}
a & 0 & 0\\
0 & b & 0 \\
0 & 0 & c
\end{pmatrix} \) alors \( D^3 = \begin{pmatrix}
a^3 & 0 & 0\\
0 & b^3 & 0 \\
0 & 0 & c^3
\end{pmatrix} \).CorrectIncorrect -
Question 10 of 10
10. Question
Si \( D \) et \( D’ \) sont deux matrices diagonales, alors \( DD’ = D’ D \).
CorrectIncorrect