suppose matrix d is the inverse of matrix c. which of the following is equal to d?\no cdd\no ccd\no ddd\no ccc

Explanation:

Step1: Recall inverse - matrix property

If $D$ is the inverse of $C$, then $CD = DC=I$, where $I$ is the identity matrix.

Step2: Simplify $CDD$

Since $CD = I$, then $CDD=ID$. And by the property of the identity matrix $ID = D$.

Step3: Analyze $CCD$

$CCD=(CC)D$. There is no property that simplifies $(CC)D$ to $D$.

Step4: Analyze $DDD$

$DDD$ is just the product of $D$ with itself three - times and is not equal to $D$.

Step5: Analyze $CCC$

$CCC$ is the product of $C$ with itself three - times and has no relation to $D$.

Answer:

CDD