Interactive practice questions
Consider the matrix $A$A, defined below.
Which option correctly describes the result of the calculation $A^2$A2?
| $A$A= |
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$A^2$A2 cannot be found. It would require multiplying a $2\times3$2×3 matrix by a $2\times3$2×3 matrix, and the sizes of these matrices do not match for the purpose of matrix multiplication.
$A^2$A2 can be found by squaring every element of $A$A. The resulting matrix will be
| $A^2$A2= |
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$A^2$A2 can be found by the following process. First turn $A$A into a square matrix by removing the last column, then multiply the new matrix by itself. The result will be
| $A^2$A2= |
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$A^2$A2 cannot be found, since you can only square $1\times1$1×1, $2\times2$2×2 and $3\times3$3×3 matrices and $A$A is not any of these sizes.
Consider the matrix $A$A, defined below.
Which option correctly states whether $A^2$A2 can be found and why?
Can the following matrix be squared?
Can the following matrix be squared?