Find the Inverse of the Matrix $\left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$

question 34

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]$ (if it exists) .

• A) \(- \frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]\)
• B) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } 5 & 5 \\ - 1 & 4 \end{array} \right]\)
• C) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } - 5 & - 5 \\ 1 & - 4 \end{array} \right]\)
• D) \(\frac { 1 } { 25 } \left[ \begin{array} { c c } 4 & - 5 \\ 1 & 5 \end{array} \right]\)
• E) does not exist

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Definitions:

Loop Of Henle

A section of the nephron in the kidney involved in the reabsorption of water and salts, crucial for the concentration of urine and the regulation of water, electrolyte balance.

Permeable

Allowing liquids or gases to pass through it.

Sodium

A chemical element with symbol Na and atomic number 11, essential for many body functions, including maintaining cellular function and blood pressure.

Urea

A waste product formed in the liver that is transported in the bloodstream to the kidneys for excretion in urine, commonly used to measure kidney function.