In corn (Zea mays), the wild type trait is for kernels to be round; some kernels are shrunken (S), which is caused by recessive, mutant alleles of various genes. You obtain five strains of corn with shrunken kernels, and conduct pairwise crosses between all five strains (1x1, 1x2, 1,3, etc). The results are summarized in the matrix below: if the offspring have the wild type trait, round, then they are represented with a "+"; if the offspring have the trait caused by recessive, mutant alleles, shrunken, they are marked with "S" 1 2 3 4 5 1 S 2 + S 3 + 4 5 S S S S S S + + + S a. How many total genes are represented by these five strains? Explain your answer. b. Which of the five strains represent the same genes? (how can they be grouped, if at all). Explain your answer.

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In corn (*Zea mays*), the wild type trait is for kernels to be round; some kernels are shrunken (S), which is caused by recessive, mutant alleles of various genes.

You obtain five strains of corn with shrunken kernels and conduct pairwise crosses between all five strains (1x1, 1x2, 1x3, etc). The results are summarized in the matrix below: if the offspring have the wild type trait, round, then they are represented with a "+"; if the offspring have the trait caused by recessive, mutant alleles, shrunken, they are marked with "S"

```
    1   2   3   4   5
1   S   +   +   +   S
2      S   S   S   +
3         S   S   +
4            S   +
5               S
```

a. How many total genes are represented by these five strains? Explain your answer.

b. Which of the five strains represent the same genes? (how can they be grouped, if at all). Explain your answer.

---

**Matrix Explanation:**

The matrix is a 5x5 grid representing the outcomes of crossing five different strains of corn. The rows and columns are labeled 1 to 5. Each cell within the matrix displays either an "S" or "+," indicating the phenotype of the offspring from that cross:

- "S" means shrunken kernels, indicating that the offspring display the recessive trait.
- "+" means round kernels, indicating a wild type trait.

**Interpretation:**

To determine the total number of genes and identify strains that represent the same genes, observe the patterns of "+" and "S" in the matrix.
Transcribed Image Text:In corn (*Zea mays*), the wild type trait is for kernels to be round; some kernels are shrunken (S), which is caused by recessive, mutant alleles of various genes. You obtain five strains of corn with shrunken kernels and conduct pairwise crosses between all five strains (1x1, 1x2, 1x3, etc). The results are summarized in the matrix below: if the offspring have the wild type trait, round, then they are represented with a "+"; if the offspring have the trait caused by recessive, mutant alleles, shrunken, they are marked with "S" ``` 1 2 3 4 5 1 S + + + S 2 S S S + 3 S S + 4 S + 5 S ``` a. How many total genes are represented by these five strains? Explain your answer. b. Which of the five strains represent the same genes? (how can they be grouped, if at all). Explain your answer. --- **Matrix Explanation:** The matrix is a 5x5 grid representing the outcomes of crossing five different strains of corn. The rows and columns are labeled 1 to 5. Each cell within the matrix displays either an "S" or "+," indicating the phenotype of the offspring from that cross: - "S" means shrunken kernels, indicating that the offspring display the recessive trait. - "+" means round kernels, indicating a wild type trait. **Interpretation:** To determine the total number of genes and identify strains that represent the same genes, observe the patterns of "+" and "S" in the matrix.
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